123725073024 has 512 divisors, whose sum is σ = 449452800000. Its totient is φ = 32700284928.

The previous prime is 123725072981. The next prime is 123725073047. The reversal of 123725073024 is 420370527321.

123725073024 is a `hidden beast` number, since 123 + 7 + 2 + 507 + 3 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123725073024.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24262027 + ... + 24267125.

It is an arithmetic number, because the mean of its divisors is an integer number (877837500).

Almost surely, 2^123725073024 is an apocalyptic number.

123725073024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123725073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224726400000).

123725073024 is an abundant number, since it is smaller than the sum of its proper divisors (325727726976).

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

123725073024 is a wasteful number, since it uses less digits than its factorization.

123725073024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 123725073024 in words is "one hundred twenty-three billion, seven hundred twenty-five million, seventy-three thousand, twenty-four".