122590560 has 96 divisors (see below), whose sum is σ = 389394432. Its totient is φ = 32417280.

The previous prime is 122590543. The next prime is 122590591. The reversal of 122590560 is 65095221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122590560² = 30056890802227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 59955 + ... + 61965.

It is an arithmetic number, because the mean of its divisors is an integer number (4056192).

Almost surely, 2^122590560 is an apocalyptic number.

122590560 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 122590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194697216).

122590560 is an abundant number, since it is smaller than the sum of its proper divisors (266803872).

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

122590560 is a wasteful number, since it uses less digits than its factorization.

122590560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 122590560 is about 11072.0621385540. The cubic root of 122590560 is about 496.7665479847.

The spelling of 122590560 in words is "one hundred twenty-two million, five hundred ninety thousand, five hundred sixty".