12117435124768 has 96 divisors (see below), whose sum is σ = 24361449840000. Its totient is φ = 5931280373760.

The previous prime is 12117435124747. The next prime is 12117435124793. The reversal of 12117435124768 is 86742153471121.

It is a super-2 number, since 2×12117435124768² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033993213 + ... + 1034004931.

It is an arithmetic number, because the mean of its divisors is an integer number (253765102500).

Almost surely, 2^{12117435124768} 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 12117435124768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180724920000).

12117435124768 is an abundant number, since it is smaller than the sum of its proper divisors (12244014715232).

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

12117435124768 is a wasteful number, since it uses less digits than its factorization.

12117435124768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018 (or 14010 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

Adding to 12117435124768 its reverse (86742153471121), we get a palindrome (98859588595889).

The spelling of 12117435124768 in words is "twelve trillion, one hundred seventeen billion, four hundred thirty-five million, one hundred twenty-four thousand, seven hundred sixty-eight".