It is 212 = 4096, whose factors are 2n where n = 0, 1, 2, ... , 12.
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There are many numbers with 12 prime factors. They are very, very big. The number with the lowest 12 prime factors is 7420738134810 if you start with 2 as the lowest factor. If you start with 1 as the lowest factor, then the number is 200560490130. 2048 has 12 factors.
Prime numbers to the 12th power, like 4096, have 13 factors.
2520
A prime number is a number that is divisible only by 1 and itself; it has no other factors. The factors of 7 are 1 and 7. The factors of 13 are 1 and 13. The factors of 27 are 1, 3, 9, and 27. The factors of 29 are 1 and 29. Therefore, 27 is the only one that is not a prime number.
No number under 100 has 13 factors. 60, 72, 84, 90, and 96 each have 12 factors.