12160298892960 has 768 divisors, whose sum is σ = 45533508894720. Its totient is φ = 3023914291200.

The previous prime is 12160298892947. The next prime is 12160298892967. The reversal of 12160298892960 is 6929889206121.

12160298892960 is a `hidden beast` number, since 12 + 1 + 602 + 9 + 8 + 8 + 9 + 2 + 9 + 6 + 0 = 666.

12160298892960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12160298892960² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12160298892967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1228184010 + ... + 1228193910.

It is an arithmetic number, because the mean of its divisors is an integer number (59288423040).

Almost surely, 2^{12160298892960} is an apocalyptic number.

12160298892960 is a gapful number since it is divisible by the number (10) 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 12160298892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766754447360).

12160298892960 is an abundant number, since it is smaller than the sum of its proper divisors (33373210001760).

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

12160298892960 is a wasteful number, since it uses less digits than its factorization.

12160298892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 12160298892960 in words is "twelve trillion, one hundred sixty billion, two hundred ninety-eight million, eight hundred ninety-two thousand, nine hundred sixty".