12504007152 has 480 divisors, whose sum is σ = 45529228800. Its totient is φ = 3215407104.

The previous prime is 12504007133. The next prime is 12504007177. The reversal of 12504007152 is 25170040521.

12504007152 is a `hidden beast` number, since 1 + 2 + 504 + 0 + 0 + 7 + 152 = 666.

It is a super-2 number, since 2×12504007152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 21975124 + ... + 21975692.

It is an arithmetic number, because the mean of its divisors is an integer number (94852560).

Almost surely, 2^12504007152 is an apocalyptic number.

12504007152 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 12504007152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22764614400).

12504007152 is an abundant number, since it is smaller than the sum of its proper divisors (33025221648).

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

12504007152 is a wasteful number, since it uses less digits than its factorization.

12504007152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 12504007152 its reverse (25170040521), we get a palindrome (37674047673).

The spelling of 12504007152 in words is "twelve billion, five hundred four million, seven thousand, one hundred fifty-two".