412 = 22 x 103.
412 is a number that cannot be written as a sum of three squares.
412 is the number of subsets of {1, 2, 3, . . . , 11} that have a sum divisible by 5.
412 is 120021 in base 3 and 345 in base 11.
A Neptune-Pluto conjunction occurred in Taurus in the year 412.
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