12117577106016 has 72 divisors (see below), whose sum is σ = 34490773155384. Its totient is φ = 4035510228480.

The previous prime is 12117577106009. The next prime is 12117577106021. The reversal of 12117577106016 is 61060177571121.

12117577106016 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 7 + 577 + 1 + 0 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18861330 + ... + 19493201.

It is an arithmetic number, because the mean of its divisors is an integer number (479038516047).

Almost surely, 2^{12117577106016} is an apocalyptic number.

12117577106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12117577106016 is an abundant number, since it is smaller than the sum of its proper divisors (22373196049368).

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

12117577106016 is a wasteful number, since it uses less digits than its factorization.

12117577106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38355644 (or 38355633 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The spelling of 12117577106016 in words is "twelve trillion, one hundred seventeen billion, five hundred seventy-seven million, one hundred six thousand, sixteen".