12807947179200 has 672 divisors, whose sum is σ = 45387822547008. Its totient is φ = 3150249984000.

The previous prime is 12807947179171. The next prime is 12807947179213. The reversal of 12807947179200 is 297174970821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1398701022 + ... + 1398710178.

Almost surely, 2^{12807947179200} is an apocalyptic number.

12807947179200 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 12807947179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22693911273504).

12807947179200 is an abundant number, since it is smaller than the sum of its proper divisors (32579875367808).

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

12807947179200 is a wasteful number, since it uses less digits than its factorization.

12807947179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 57.

The spelling of 12807947179200 in words is "twelve trillion, eight hundred seven billion, nine hundred forty-seven million, one hundred seventy-nine thousand, two hundred".