122972640 has 96 divisors (see below), whose sum is σ = 442713600. Its totient is φ = 28107264.

The previous prime is 122972599. The next prime is 122972657. The reversal of 122972640 is 46279221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14940 + ... + 21659.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2^122972640 is an apocalyptic number.

122972640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122972640 is an abundant number, since it is smaller than the sum of its proper divisors (319740960).

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

122972640 is a wasteful number, since it uses less digits than its factorization.

122972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36624 (or 36616 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 122972640 is about 11089.3029537478. The cubic root of 122972640 is about 497.2821062093.

The spelling of 122972640 in words is "one hundred twenty-two million, nine hundred seventy-two thousand, six hundred forty".