122921920 has 112 divisors (see below), whose sum is σ = 326550528. Its totient is φ = 43688960.

The previous prime is 122921861. The next prime is 122921947. The reversal of 122921920 is 29129221.

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, 165069 + ... + 165811.

Almost surely, 2^122921920 is an apocalyptic number.

122921920 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 122921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275264).

122921920 is an abundant number, since it is smaller than the sum of its proper divisors (203628608).

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

122921920 is a wasteful number, since it uses less digits than its factorization.

122921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 122921920 is about 11087.0158293384. The cubic root of 122921920 is about 497.2137288942.

The spelling of 122921920 in words is "one hundred twenty-two million, nine hundred twenty-one thousand, nine hundred twenty".