4112 = 24 x 257.
4112 has a representation as a sum of two squares: 4112 = 42 + 642.
4112 has a representation as sum of two fourth powers: 4112 = 24 + 84.
4112 is the number of necklaces possible with 17 beads, each being one of two colors.
4112 is 1000000010000 in base 2 (binary), 1000100 in base 4, 112422 in base 5, 10020 in base 8, and 1010 in base 16.