12928591734192 has 200 divisors, whose sum is σ = 38394384372960. Its totient is φ = 4197550740480.

The previous prime is 12928591734181. The next prime is 12928591734229. The reversal of 12928591734192 is 29143719582921.

12928591734192 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 591 + 7 + 34 + 1 + 9 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 32373909 + ... + 32770827.

Almost surely, 2^{12928591734192} is an apocalyptic number.

12928591734192 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 12928591734192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19197192186480).

12928591734192 is an abundant number, since it is smaller than the sum of its proper divisors (25465792638768).

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

12928591734192 is a wasteful number, since it uses less digits than its factorization.

12928591734192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397593 (or 397578 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 12928591734192 in words is "twelve trillion, nine hundred twenty-eight billion, five hundred ninety-one million, seven hundred thirty-four thousand, one hundred ninety-two".