12513712512 has 768 divisors, whose sum is σ = 45209664000. Its totient is φ = 3034644480.

The previous prime is 12513712501. The next prime is 12513712517. The reversal of 12513712512 is 21521731521.

It is a self number, because there is not a number n which added to its sum of digits gives 12513712512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513712517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176249437 + ... + 176249507.

It is an arithmetic number, because the mean of its divisors is an integer number (58866750).

Almost surely, 2^12513712512 is an apocalyptic number.

12513712512 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 12513712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22604832000).

12513712512 is an abundant number, since it is smaller than the sum of its proper divisors (32695951488).

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

12513712512 is a wasteful number, since it uses less digits than its factorization.

12513712512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The spelling of 12513712512 in words is "twelve billion, five hundred thirteen million, seven hundred twelve thousand, five hundred twelve".