122904 has 32 divisors (see below), whose sum is σ = 342000. Its totient is φ = 40896.

The previous prime is 122891. The next prime is 122921. The reversal of 122904 is 409221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

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, 69 + ... + 500.

2¹²²⁹⁰⁴ 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 122904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171000).

122904 is an abundant number, since it is smaller than the sum of its proper divisors (219096).

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

122904 is a wasteful number, since it uses less digits than its factorization.

122904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122904 is about 350.5766677918. The cubic root of 122904 is about 49.7189565851.

Subtracting from 122904 its product of nonzero digits (144), we obtain a triangular number (122760 = T₄₉₅).

It can be divided in two parts, 12 and 2904, that added together give a square (2916 = 54²).

The spelling of 122904 in words is "one hundred twenty-two thousand, nine hundred four".