12274688160 has 864 divisors, whose sum is σ = 53644368960. Its totient is φ = 2633637888.

The previous prime is 12274688113. The next prime is 12274688171. The reversal of 12274688160 is 6188647221.

12274688160 is a `hidden beast` number, since 1 + 2 + 27 + 468 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32386851 + ... + 32387229.

It is an arithmetic number, because the mean of its divisors is an integer number (62088390).

Almost surely, 2^12274688160 is an apocalyptic number.

12274688160 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 12274688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822184480).

12274688160 is an abundant number, since it is smaller than the sum of its proper divisors (41369680800).

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

12274688160 is a wasteful number, since it uses less digits than its factorization.

12274688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12274688160 in words is "twelve billion, two hundred seventy-four million, six hundred eighty-eight thousand, one hundred sixty".