122075904 has 72 divisors (see below), whose sum is σ = 339075072. Its totient is φ = 38917120.

The previous prime is 122075903. The next prime is 122075911. The reversal of 122075904 is 409570221.

It is not an unprimeable number, because it can be changed into a prime (122075903) 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, 14209 + ... + 21119.

It is an arithmetic number, because the mean of its divisors is an integer number (4709376).

Almost surely, 2^122075904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169537536).

122075904 is an abundant number, since it is smaller than the sum of its proper divisors (216999168).

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

122075904 is an equidigital number, since it uses as much as digits as its factorization.

122075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 122075904 is about 11048.7964955465. The cubic root of 122075904 is about 496.0704027710.

The spelling of 122075904 in words is "one hundred twenty-two million, seventy-five thousand, nine hundred four".