12936672000 has 1440 divisors, whose sum is σ = 59262787584. Its totient is φ = 2737152000.

The previous prime is 12936671947. The next prime is 12936672013. The reversal of 12936672000 is 27663921.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 417311985 + ... + 417312015.

Almost surely, 2^12936672000 is an apocalyptic number.

12936672000 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 12936672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631393792).

12936672000 is an abundant number, since it is smaller than the sum of its proper divisors (46326115584).

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

12936672000 is an equidigital number, since it uses as much as digits as its factorization.

12936672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12936672000 in words is "twelve billion, nine hundred thirty-six million, six hundred seventy-two thousand".