12117193391664 has 400 divisors, whose sum is σ = 35653605013312. Its totient is φ = 3972587452416.

The previous prime is 12117193391663. The next prime is 12117193391669. The reversal of 12117193391664 is 46619339171121.

It is a happy number.

12117193391664 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 7 + 193 + 391 + 6 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12117193391664.

It is not an unprimeable number, because it can be changed into a prime (12117193391663) 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 79 ways as a sum of consecutive naturals, for example, 19767036222 + ... + 19767036834.

Almost surely, 2^{12117193391664} 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 12117193391664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826802506656).

12117193391664 is an abundant number, since it is smaller than the sum of its proper divisors (23536411621648).

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

12117193391664 is a wasteful number, since it uses less digits than its factorization.

12117193391664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1491 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 12117193391664 in words is "twelve trillion, one hundred seventeen billion, one hundred ninety-three million, three hundred ninety-one thousand, six hundred sixty-four".