12729071256 has 96 divisors (see below), whose sum is σ = 35133226800. Its totient is φ = 3840249600.

The previous prime is 12729071237. The next prime is 12729071269. The reversal of 12729071256 is 65217092721.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655446 + ... + 674586.

Almost surely, 2^12729071256 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 12729071256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566613400).

12729071256 is an abundant number, since it is smaller than the sum of its proper divisors (22404155544).

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

12729071256 is a wasteful number, since it uses less digits than its factorization.

12729071256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19401 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 12729071256 in words is "twelve billion, seven hundred twenty-nine million, seventy-one thousand, two hundred fifty-six".