12807430272 has 576 divisors, whose sum is σ = 47743637760. Its totient is φ = 3263016960.

The previous prime is 12807430243. The next prime is 12807430289. The reversal of 12807430272 is 27203470821.

12807430272 is a `hidden beast` number, since 1 + 280 + 7 + 4 + 302 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 22748263 + ... + 22748825.

It is an arithmetic number, because the mean of its divisors is an integer number (82888260).

Almost surely, 2^12807430272 is an apocalyptic number.

12807430272 is a gapful number since it is divisible by the number (12) 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 12807430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23871818880).

12807430272 is an abundant number, since it is smaller than the sum of its proper divisors (34936207488).

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

12807430272 is a wasteful number, since it uses less digits than its factorization.

12807430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12807430272 in words is "twelve billion, eight hundred seven million, four hundred thirty thousand, two hundred seventy-two".