122665920 has 112 divisors (see below), whose sum is σ = 419465760. Its totient is φ = 30191616.

The previous prime is 122665913. The next prime is 122665943. The reversal of 122665920 is 29566221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7566 + ... + 17394.

It is an arithmetic number, because the mean of its divisors is an integer number (3745230).

Almost surely, 2^122665920 is an apocalyptic number.

122665920 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 122665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209732880).

122665920 is an abundant number, since it is smaller than the sum of its proper divisors (296799840).

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

122665920 is a wasteful number, since it uses less digits than its factorization.

122665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9862 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 122665920 is about 11075.4647758006. The cubic root of 122665920 is about 496.8683194387.

The spelling of 122665920 in words is "one hundred twenty-two million, six hundred sixty-five thousand, nine hundred twenty".