12721256352 has 144 divisors (see below), whose sum is σ = 43520218560. Its totient is φ = 3443337216.

The previous prime is 12721256351. The next prime is 12721256357. The reversal of 12721256352 is 25365212721.

12721256352 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 12 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (12721256351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127753 + ... + 204360.

It is an arithmetic number, because the mean of its divisors is an integer number (302223740).

Almost surely, 2^12721256352 is an apocalyptic number.

12721256352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12721256352 is an abundant number, since it is smaller than the sum of its proper divisors (30798962208).

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

12721256352 is a wasteful number, since it uses less digits than its factorization.

12721256352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332155 (or 332144 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The spelling of 12721256352 in words is "twelve billion, seven hundred twenty-one million, two hundred fifty-six thousand, three hundred fifty-two".