12761312256 has 528 divisors, whose sum is σ = 47005670400. Its totient is φ = 3305594880.

The previous prime is 12761312219. The next prime is 12761312269. The reversal of 12761312256 is 65221316721.

12761312256 is a `hidden beast` number, since 1 + 2 + 7 + 613 + 12 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12761312256.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34771785 + ... + 34772151.

Almost surely, 2^12761312256 is an apocalyptic number.

12761312256 is a gapful number since it is divisible by the number (16) 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 12761312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502835200).

12761312256 is an abundant number, since it is smaller than the sum of its proper divisors (34244358144).

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

12761312256 is a wasteful number, since it uses less digits than its factorization.

12761312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 390 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 12761312256 its reverse (65221316721), we get a palindrome (77982628977).

The spelling of 12761312256 in words is "twelve billion, seven hundred sixty-one million, three hundred twelve thousand, two hundred fifty-six".