122892864 has 112 divisors (see below), whose sum is σ = 359468928. Its totient is φ = 36855808.

The previous prime is 122892859. The next prime is 122892883. The reversal of 122892864 is 468298221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74254 + ... + 75890.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^122892864 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 122892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

122892864 is an abundant number, since it is smaller than the sum of its proper divisors (236576064).

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

122892864 is a wasteful number, since it uses less digits than its factorization.

122892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1682 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 122892864 is about 11085.7053902763. The cubic root of 122892864 is about 497.1745490621.

The spelling of 122892864 in words is "one hundred twenty-two million, eight hundred ninety-two thousand, eight hundred sixty-four".