12256921385100 has 216 divisors, whose sum is σ = 45533202577408. Its totient is φ = 2801581992000.

The previous prime is 12256921385099. The next prime is 12256921385227. The reversal of 12256921385100 is 158312965221.

12256921385100 is a `hidden beast` number, since 1 + 2 + 2 + 569 + 2 + 1 + 3 + 85 + 1 + 0 + 0 = 666.

12256921385100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35858476 + ... + 36198675.

Almost surely, 2^{12256921385100} is an apocalyptic number.

12256921385100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12256921385100 is an abundant number, since it is smaller than the sum of its proper divisors (33276281192308).

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

12256921385100 is a wasteful number, since it uses less digits than its factorization.

12256921385100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72057187 (or 72057168 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12256921385100 in words is "twelve trillion, two hundred fifty-six billion, nine hundred twenty-one million, three hundred eighty-five thousand, one hundred".