12624318252 has 648 divisors, whose sum is σ = 44286854976. Its totient is φ = 3009097728.

The previous prime is 12624318227. The next prime is 12624318253. The reversal of 12624318252 is 25281342621.

12624318252 is a `hidden beast` number, since 1 + 2 + 624 + 3 + 1 + 8 + 25 + 2 = 666.

It is a super-2 number, since 2×12624318252² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12624318253) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 238194658 + ... + 238194710.

It is an arithmetic number, because the mean of its divisors is an integer number (68343912).

Almost surely, 2^12624318252 is an apocalyptic number.

12624318252 is a gapful number since it is divisible by the number (12) 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 12624318252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22143427488).

12624318252 is an abundant number, since it is smaller than the sum of its proper divisors (31662536724).

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

12624318252 is a wasteful number, since it uses less digits than its factorization.

12624318252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 12624318252 in words is "twelve billion, six hundred twenty-four million, three hundred eighteen thousand, two hundred fifty-two".