10122852920 has 64 divisors (see below), whose sum is σ = 23937984000. Its totient is φ = 3845179008.

The previous prime is 10122852893. The next prime is 10122852923. The reversal of 10122852920 is 2925822101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122852923) 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 15 ways as a sum of consecutive naturals, for example, 88301 + ... + 167459.

It is an arithmetic number, because the mean of its divisors is an integer number (374031000).

Almost surely, 2^10122852920 is an apocalyptic number.

10122852920 is a gapful number since it is divisible by the number (10) 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 10122852920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968992000).

10122852920 is an abundant number, since it is smaller than the sum of its proper divisors (13815131080).

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

10122852920 is a wasteful number, since it uses less digits than its factorization.

10122852920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79332 (or 79328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 10122852920 in words is "ten billion, one hundred twenty-two million, eight hundred fifty-two thousand, nine hundred twenty".