12922011648000 has 2880 divisors, whose sum is σ = 59853563497728. Its totient is φ = 2700922060800.

The previous prime is 12922011647981. The next prime is 12922011648011. The reversal of 12922011648000 is 84611022921.

12922011648000 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 2 + 0 + 1 + 1 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120766463947 + ... + 120766464053.

Almost surely, 2^{12922011648000} is an apocalyptic number.

12922011648000 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 12922011648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926781748864).

12922011648000 is an abundant number, since it is smaller than the sum of its proper divisors (46931551849728).

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

12922011648000 is an frugal number, since it uses more digits than its factorization.

12922011648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12922011648000 in words is "twelve trillion, nine hundred twenty-two billion, eleven million, six hundred forty-eight thousand".