122565120 has 80 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 32681984.

The previous prime is 122565109. The next prime is 122565133. The reversal of 122565120 is 21565221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122565120² = 30044417281228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300 + ... + 15659.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2^122565120 is an apocalyptic number.

122565120 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 122565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

122565120 is an abundant number, since it is smaller than the sum of its proper divisors (269284800).

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

122565120 is an equidigital number, since it uses as much as digits as its factorization.

122565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15985 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 122565120 is about 11070.9132414630. The cubic root of 122565120 is about 496.7321826000.

The spelling of 122565120 in words is "one hundred twenty-two million, five hundred sixty-five thousand, one hundred twenty".