12117435324792 has 96 divisors (see below), whose sum is σ = 34699666404480. Its totient is φ = 3454299800640.

The previous prime is 12117435324769. The next prime is 12117435324793. The reversal of 12117435324792 is 29742353471121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117435324793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32786067 + ... + 33153597.

It is an arithmetic number, because the mean of its divisors is an integer number (361454858380).

Almost surely, 2^{12117435324792} is an apocalyptic number.

12117435324792 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 12117435324792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349833202240).

12117435324792 is an abundant number, since it is smaller than the sum of its proper divisors (22582231079688).

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

12117435324792 is an equidigital number, since it uses as much as digits as its factorization.

12117435324792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368433 (or 367986 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 12117435324792 in words is "twelve trillion, one hundred seventeen billion, four hundred thirty-five million, three hundred twenty-four thousand, seven hundred ninety-two".