122332960 has 48 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 48100096.

The previous prime is 122332943. The next prime is 122332961. The reversal of 122332960 is 69233221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2961 + ... + 15919.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^122332960 is an apocalyptic number.

122332960 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 122332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

122332960 is an abundant number, since it is smaller than the sum of its proper divisors (171599840).

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

122332960 is a wasteful number, since it uses less digits than its factorization.

122332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13033 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 122332960 is about 11060.4231383795. The cubic root of 122332960 is about 496.4183515164.

The spelling of 122332960 in words is "one hundred twenty-two million, three hundred thirty-two thousand, nine hundred sixty".