10120477125600 has 216 divisors, whose sum is σ = 36651855927960. Its totient is φ = 2625853455360.

The previous prime is 10120477125533. The next prime is 10120477125611. The reversal of 10120477125600 is 652177402101.

10120477125600 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 47 + 7 + 1 + 2 + 5 + 600 = 666.

10120477125600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18728490 + ... + 19261289.

It is an arithmetic number, because the mean of its divisors is an integer number (169684518185).

Almost surely, 2^{10120477125600} is an apocalyptic number.

10120477125600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120477125600 is an abundant number, since it is smaller than the sum of its proper divisors (26531378802360).

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

10120477125600 is a wasteful number, since it uses less digits than its factorization.

10120477125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37989842 (or 37989826 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10120477125600 in words is "ten trillion, one hundred twenty billion, four hundred seventy-seven million, one hundred twenty-five thousand, six hundred".