12756874184192 has 320 divisors, whose sum is σ = 28275745861440. Its totient is φ = 5722472448000.

The previous prime is 12756874184191. The next prime is 12756874184213. The reversal of 12756874184192 is 29148147865721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12756874184191) 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 31 ways as a sum of consecutive naturals, for example, 15729807467 + ... + 15729808277.

It is an arithmetic number, because the mean of its divisors is an integer number (88361705817).

Almost surely, 2^{12756874184192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12756874184192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137872930720).

12756874184192 is an abundant number, since it is smaller than the sum of its proper divisors (15518871677248).

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

12756874184192 is a wasteful number, since it uses less digits than its factorization.

12756874184192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1577 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 65.

The spelling of 12756874184192 in words is "twelve trillion, seven hundred fifty-six billion, eight hundred seventy-four million, one hundred eighty-four thousand, one hundred ninety-two".