126624597120 has 768 divisors, whose sum is σ = 534083097600. Its totient is φ = 26999267328.

The previous prime is 126624597107. The next prime is 126624597199. The reversal of 126624597120 is 21795426621.

126624597120 is a `hidden beast` number, since 1 + 2 + 6 + 624 + 5 + 9 + 7 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51326127 + ... + 51328593.

It is an arithmetic number, because the mean of its divisors is an integer number (695420700).

Almost surely, 2^126624597120 is an apocalyptic number.

126624597120 is a gapful number since it is divisible by the number (10) 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 126624597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267041548800).

126624597120 is an abundant number, since it is smaller than the sum of its proper divisors (407458500480).

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

126624597120 is a wasteful number, since it uses less digits than its factorization.

126624597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 126624597120 in words is "one hundred twenty-six billion, six hundred twenty-four million, five hundred ninety-seven thousand, one hundred twenty".