122904504 has 48 divisors (see below), whose sum is σ = 335512320. Its totient is φ = 40642560.

The previous prime is 122904503. The next prime is 122904527. The reversal of 122904504 is 405409221.

122904504 is a `hidden beast` number, since 122 + 90 + 450 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122904503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2424 + ... + 15864.

It is an arithmetic number, because the mean of its divisors is an integer number (6989840).

Almost surely, 2^122904504 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 122904504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167756160).

122904504 is an abundant number, since it is smaller than the sum of its proper divisors (212607816).

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

122904504 is a wasteful number, since it uses less digits than its factorization.

122904504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122904504 is about 11086.2303782665. The cubic root of 122904504 is about 497.1902454686.

The spelling of 122904504 in words is "one hundred twenty-two million, nine hundred four thousand, five hundred four".