122520960 has 192 divisors, whose sum is σ = 429624000. Its totient is φ = 32169984.

The previous prime is 122520943. The next prime is 122520971. The reversal of 122520960 is 69025221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×122520960² = 30022771278643200, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 512521 + ... + 512759.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 2^122520960 is an apocalyptic number.

122520960 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 122520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

122520960 is an abundant number, since it is smaller than the sum of its proper divisors (307103040).

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

122520960 is a wasteful number, since it uses less digits than its factorization.

122520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 122520960 is about 11068.9186463719. The cubic root of 122520960 is about 496.6725181860.

The spelling of 122520960 in words is "one hundred twenty-two million, five hundred twenty thousand, nine hundred sixty".