12930112301184 has 768 divisors, whose sum is σ = 42032460288000. Its totient is φ = 3932961951744.

The previous prime is 12930112301167. The next prime is 12930112301207. The reversal of 12930112301184 is 48110321103921.

It is a happy number.

12930112301184 is a `hidden beast` number, since 1 + 2 + 9 + 301 + 1 + 230 + 118 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21301667409 + ... + 21301668015.

It is an arithmetic number, because the mean of its divisors is an integer number (54729766000).

Almost surely, 2^{12930112301184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12930112301184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21016230144000).

12930112301184 is an abundant number, since it is smaller than the sum of its proper divisors (29102347986816).

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

12930112301184 is a wasteful number, since it uses less digits than its factorization.

12930112301184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12930112301184 in words is "twelve trillion, nine hundred thirty billion, one hundred twelve million, three hundred one thousand, one hundred eighty-four".