122657828896 has 48 divisors (see below), whose sum is σ = 242255059200. Its totient is φ = 61133033728.

The previous prime is 122657828893. The next prime is 122657828939. The reversal of 122657828896 is 698828756221.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (122657828893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15615306 + ... + 15623158.

It is an arithmetic number, because the mean of its divisors is an integer number (5046980400).

Almost surely, 2^122657828896 is an apocalyptic number.

122657828896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122657828896 is a deficient number, since it is larger than the sum of its proper divisors (119597230304).

122657828896 is a wasteful number, since it uses less digits than its factorization.

122657828896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9353 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 64.

The spelling of 122657828896 in words is "one hundred twenty-two billion, six hundred fifty-seven million, eight hundred twenty-eight thousand, eight hundred ninety-six".