12922467465600 has 2304 divisors, whose sum is σ = 60866607859200. Its totient is φ = 2531760537600.

The previous prime is 12922467465569. The next prime is 12922467465623. The reversal of 12922467465600 is 656476422921.

12922467465600 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 2 + 4 + 6 + 74 + 6 + 560 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2765344864 + ... + 2765349536.

It is an arithmetic number, because the mean of its divisors is an integer number (26417798550).

Almost surely, 2^{12922467465600} is an apocalyptic number.

12922467465600 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 12922467465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30433303929600).

12922467465600 is an abundant number, since it is smaller than the sum of its proper divisors (47944140393600).

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

12922467465600 is a wasteful number, since it uses less digits than its factorization.

12922467465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12922467465600 in words is "twelve trillion, nine hundred twenty-two billion, four hundred sixty-seven million, four hundred sixty-five thousand, six hundred".