12912194256192 has 560 divisors, whose sum is σ = 47745948590208. Its totient is φ = 3352025825280.

The previous prime is 12912194256173. The next prime is 12912194256193. The reversal of 12912194256192 is 29165249121921.

12912194256192 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 2 + 19 + 4 + 2 + 5 + 619 + 2 = 666.

12912194256192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12912194256192² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12912194256193) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 853014448 + ... + 853029584.

Almost surely, 2^{12912194256192} is an apocalyptic number.

12912194256192 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 12912194256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872974295104).

12912194256192 is an abundant number, since it is smaller than the sum of its proper divisors (34833754334016).

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

12912194256192 is a wasteful number, since it uses less digits than its factorization.

12912194256192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17316 (or 17297 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 12912194256192 in words is "twelve trillion, nine hundred twelve billion, one hundred ninety-four million, two hundred fifty-six thousand, one hundred ninety-two".