Inkopolis Progress Bits

The Inkopolis progress bits are at 0x12CD1C24. In general, they specify how far you have progressed in the game. To get the value at this address you have to OR (or add) the values for each thing you cleared.

0x00000001: Whether you have cleared the Inkling customization and the tutorial at the beginning, watched the great Zapfish disappearance news and read the Inkopolis explanation dialogue.
0x00000002: Whether you have seen the Splatfest explanation dialogue.
0x00000004: Whether you have seen the news about ranked battles being available (Originally you could only play turf wars). You still have to get to level 10 to access them (or set the 0x00000800-bit). At the beginning of the game, this bit is set without showing you the news.
0x00000008: Whether you have seen the Lobby explanation dialogue.
0x00000010: Whether Cap'n Cuttlefish has talked to you and given you the Hero Suit in Octo Valley.
0x00000020: Cap'n Cuttlefish has disapperared. Apart from not showing Cap'n Cuttlefish in Octo Vally, this also makes him stop peeking out of his manhole in the Plaza. NO EFFECT IF OCTO VALLEY AREADY CLEARED.
0x00000040:
0x00000080: Whether the great Zapfish has returned and DJ Octavio should be shown in Octo Valley.
0x00000100: Whether Cap'n Cuttlefish has talked to you after saving him and whether the credits-board has already popped out of the ground in Octo Valley.
0x00000200: Get a scroll in Octo Valley. This unlocks the sunken scroll minigame song. (see also: http://pastebin.com/2k157L2d)
0x00000400:
0x00000800: Whether ranked battles are unlocked. The first time entering the lobby after reaching level 10, the dialogue is shown and the bit is set.
0x00001000: Whether your rank should be shown. The first time you play a ranked battle, this bit is set.
0x00002000:
0x00004000: <----\
0x00008000: <-----+----- What does these do? They are set the first time you do a ranked match.
0x00010000: Whether your Super Sea Snail counter should be shown.
0x00020000:
0x00040000:
0x00080000:
0x00100000: Whether the level cap has be raised to 50. It also determines the rate at which you gain experience points. As soon as you reach level 20 and enter the lobby, this bit is set.
0x00200000: Whether you have seen the warning "If you participate in online battles, your game stats may be published in the game and online". As soon as you enter the lobby this dialogue is shown and this bit is set.
0x00400000: Whether Judd has told you that he will give you sea snails.

A fully cleared Inkopolis has value 0x007FFFFF.
NOTE: Judd gives you the weapons and gear DEPENDING ON WHETHER YOU ALREADY HAVE THEM. I don't know about the Octoling Armour and Hero Suit though. But I think you get them after you watch the news after beating DJ Octavio. If you turn off your Wii U after beating DJ Octavio (and after the game has saved) but before watching the news, you might not be able to get them anymore...