12193880894208 has 288 divisors, whose sum is σ = 41117569214400. Its totient is φ = 3531259183104.

The previous prime is 12193880894201. The next prime is 12193880894249. The reversal of 12193880894208 is 80249808839121.

12193880894208 is a `hidden beast` number, since 1 + 21 + 9 + 38 + 80 + 89 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (12193880894201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463763 + ... + 5518866.

It is an arithmetic number, because the mean of its divisors is an integer number (142769337550).

Almost surely, 2^{12193880894208} is an apocalyptic number.

12193880894208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12193880894208 is an abundant number, since it is smaller than the sum of its proper divisors (28923688320192).

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

12193880894208 is a wasteful number, since it uses less digits than its factorization.

12193880894208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7982684 (or 7982664 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 12193880894208 in words is "twelve trillion, one hundred ninety-three billion, eight hundred eighty million, eight hundred ninety-four thousand, two hundred eight".