12024624960 has 560 divisors, whose sum is σ = 46901313360. Its totient is φ = 2910781440.

The previous prime is 12024624959. The next prime is 12024624973. The reversal of 12024624960 is 6942642021.

12024624960 is a `hidden beast` number, since 1 + 2 + 0 + 24 + 624 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 267126336 + 11757498624 = 16344^2 + 108432^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12778090 + ... + 12779030.

Almost surely, 2^12024624960 is an apocalyptic number.

12024624960 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 12024624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23450656680).

12024624960 is an abundant number, since it is smaller than the sum of its proper divisors (34876688400).

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

12024624960 is a wasteful number, since it uses less digits than its factorization.

12024624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12024624960 in words is "twelve billion, twenty-four million, six hundred twenty-four thousand, nine hundred sixty".