12875651712 has 384 divisors, whose sum is σ = 48209541120. Its totient is φ = 3198412800.

The previous prime is 12875651687. The next prime is 12875651741. The reversal of 12875651712 is 21715657821.

12875651712 is a `hidden beast` number, since 1 + 2 + 87 + 56 + 517 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2037037 + ... + 2043347.

It is an arithmetic number, because the mean of its divisors is an integer number (125545680).

Almost surely, 2^12875651712 is an apocalyptic number.

12875651712 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 12875651712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24104770560).

12875651712 is an abundant number, since it is smaller than the sum of its proper divisors (35333889408).

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

12875651712 is a wasteful number, since it uses less digits than its factorization.

12875651712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6357 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The spelling of 12875651712 in words is "twelve billion, eight hundred seventy-five million, six hundred fifty-one thousand, seven hundred twelve".