122595120 has 100 divisors (see below), whose sum is σ = 425813520. Its totient is φ = 32690304.

The previous prime is 122595103. The next prime is 122595127. The reversal of 122595120 is 21595221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122595127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2980 + ... + 15939.

Almost surely, 2^122595120 is an apocalyptic number.

122595120 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 122595120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212906760).

122595120 is an abundant number, since it is smaller than the sum of its proper divisors (303218400).

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

122595120 is a wasteful number, since it uses less digits than its factorization.

122595120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18944 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 122595120 is about 11072.2680603389. The cubic root of 122595120 is about 496.7727073153.

The spelling of 122595120 in words is "one hundred twenty-two million, five hundred ninety-five thousand, one hundred twenty".