12095116928496 has 200 divisors, whose sum is σ = 40262576824800. Its totient is φ = 3433736157696.

The previous prime is 12095116928471. The next prime is 12095116928561. The reversal of 12095116928496 is 69482961159021.

12095116928496 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 5 + 116 + 9 + 28 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2821671 + ... + 5670278.

It is an arithmetic number, because the mean of its divisors is an integer number (201312884124).

Almost surely, 2^{12095116928496} is an apocalyptic number.

12095116928496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12095116928496 is an abundant number, since it is smaller than the sum of its proper divisors (28167459896304).

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

12095116928496 is a wasteful number, since it uses less digits than its factorization.

12095116928496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492133 (or 8492118 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 12095116928496 in words is "twelve trillion, ninety-five billion, one hundred sixteen million, nine hundred twenty-eight thousand, four hundred ninety-six".