10122557256 has 128 divisors (see below), whose sum is σ = 32252448000. Its totient is φ = 2881598976.

The previous prime is 10122557251. The next prime is 10122557257. The reversal of 10122557256 is 65275522101.

10122557256 is a `hidden beast` number, since 1 + 0 + 12 + 25 + 572 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10122557256.

It is not an unprimeable number, because it can be changed into a prime (10122557251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406740 + ... + 430908.

It is an arithmetic number, because the mean of its divisors is an integer number (251972250).

Almost surely, 2^10122557256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122557256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126224000).

10122557256 is an abundant number, since it is smaller than the sum of its proper divisors (22129890744).

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

10122557256 is a wasteful number, since it uses less digits than its factorization.

10122557256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24468 (or 24458 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 10122557256 in words is "ten billion, one hundred twenty-two million, five hundred fifty-seven thousand, two hundred fifty-six".