123129504 has 192 divisors, whose sum is σ = 388644480. Its totient is φ = 37785600.

The previous prime is 123129497. The next prime is 123129509. The reversal of 123129504 is 405921321.

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 (123129509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219054 + ... + 1219154.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^123129504 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 123129504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194322240).

123129504 is an abundant number, since it is smaller than the sum of its proper divisors (265514976).

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

123129504 is a wasteful number, since it uses less digits than its factorization.

123129504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 123129504 is about 11096.3734616315. The cubic root of 123129504 is about 497.4934608536.

The spelling of 123129504 in words is "one hundred twenty-three million, one hundred twenty-nine thousand, five hundred four".