12752975712 has 96 divisors (see below), whose sum is σ = 35316933120. Its totient is φ = 4018291200.

The previous prime is 12752975671. The next prime is 12752975713. The reversal of 12752975712 is 21757925721.

12752975712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12752975713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836962 + ... + 852062.

It is an arithmetic number, because the mean of its divisors is an integer number (367884720).

Almost surely, 2^12752975712 is an apocalyptic number.

12752975712 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 12752975712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658466560).

12752975712 is an abundant number, since it is smaller than the sum of its proper divisors (22563957408).

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

12752975712 is a wasteful number, since it uses less digits than its factorization.

12752975712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15596 (or 15588 counting only the distinct ones).

The product of its digits is 617400, while the sum is 48.

The spelling of 12752975712 in words is "twelve billion, seven hundred fifty-two million, nine hundred seventy-five thousand, seven hundred twelve".