12117581932736 has 168 divisors, whose sum is σ = 29452421664000. Its totient is φ = 4918491486720.

The previous prime is 12117581932733. The next prime is 12117581932823. The reversal of 12117581932736 is 63723918571121.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (12117581932733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218705165 + ... + 218760563.

Almost surely, 2^{12117581932736} is an apocalyptic number.

12117581932736 is a gapful number since it is divisible by the number (16) 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 12117581932736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726210832000).

12117581932736 is an abundant number, since it is smaller than the sum of its proper divisors (17334839731264).

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

12117581932736 is a wasteful number, since it uses less digits than its factorization.

12117581932736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59115 (or 59098 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 56.

The spelling of 12117581932736 in words is "twelve trillion, one hundred seventeen billion, five hundred eighty-one million, nine hundred thirty-two thousand, seven hundred thirty-six".