122880102864 has 80 divisors (see below), whose sum is σ = 331746624000. Its totient is φ = 39119479168.

The previous prime is 122880102859. The next prime is 122880102901. The reversal of 122880102864 is 468201088221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643087 + ... + 811985.

It is an arithmetic number, because the mean of its divisors is an integer number (4146832800).

Almost surely, 2^122880102864 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 122880102864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165873312000).

122880102864 is an abundant number, since it is smaller than the sum of its proper divisors (208866521136).

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

122880102864 is a wasteful number, since it uses less digits than its factorization.

122880102864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169592 (or 169586 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 122880102864 in words is "one hundred twenty-two billion, eight hundred eighty million, one hundred two thousand, eight hundred sixty-four".