Terry has invented a new way to extend lists of numbers. To Terryfy a list such as [1, 8] he creates two lists [2, 9] and [3, 10], where each term is one more than the corresponding term in the previous list, and then joins the three lists together to give [1, 8, 2, 9, 3, 10]. If he starts with a list containing one number [0] and repeatedly Terryfies it he creates the list [0,1,2,1,2,3,2,3,4,1,2,3,2,3,4,3,4,5,2,3,4,... ].

What is the 2012th number in this Terryfic list?