123112704 has 288 divisors, whose sum is σ = 412070400. Its totient is φ = 32071680.

The previous prime is 123112699. The next prime is 123112733. The reversal of 123112704 is 407211321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086627 + ... + 2086685.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2^123112704 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 123112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

123112704 is an abundant number, since it is smaller than the sum of its proper divisors (288957696).

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

123112704 is a wasteful number, since it uses less digits than its factorization.

123112704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 123112704 is about 11095.6164317265. The cubic root of 123112704 is about 497.4708335384.

The spelling of 123112704 in words is "one hundred twenty-three million, one hundred twelve thousand, seven hundred four".