12707314560 has 256 divisors, whose sum is σ = 45182491200. Its totient is φ = 3375267840.

The previous prime is 12707314559. The next prime is 12707314579. The reversal of 12707314560 is 6541370721.

It is a happy number.

12707314560 is a `hidden beast` number, since 1 + 27 + 0 + 73 + 1 + 4 + 560 = 666.

12707314560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12707314560⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4854372 + ... + 4856988.

Almost surely, 2^12707314560 is an apocalyptic number.

12707314560 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 12707314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591245600).

12707314560 is an abundant number, since it is smaller than the sum of its proper divisors (32475176640).

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

12707314560 is a wasteful number, since it uses less digits than its factorization.

12707314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 12707314560 in words is "twelve billion, seven hundred seven million, three hundred fourteen thousand, five hundred sixty".