12401252536896 has 336 divisors, whose sum is σ = 37973714288640. Its totient is φ = 3860845793280.

The previous prime is 12401252536877. The next prime is 12401252536903. The reversal of 12401252536896 is 69863525210421.

12401252536896 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 1 + 2 + 525 + 36 + 89 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2054204790 + ... + 2054210826.

Almost surely, 2^{12401252536896} is an apocalyptic number.

12401252536896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401252536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986857144320).

12401252536896 is an abundant number, since it is smaller than the sum of its proper divisors (25572461751744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12401252536896 is a wasteful number, since it uses less digits than its factorization.

12401252536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12401252536896 in words is "twelve trillion, four hundred one billion, two hundred fifty-two million, five hundred thirty-six thousand, eight hundred ninety-six".