12757312512 has 352 divisors, whose sum is σ = 44686828800. Its totient is φ = 3517710336.

The previous prime is 12757312511. The next prime is 12757312517. The reversal of 12757312512 is 21521375721.

12757312512 is a `hidden beast` number, since 1 + 2 + 75 + 73 + 1 + 2 + 512 = 666.

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 (12757312511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5611408 + ... + 5613680.

Almost surely, 2^12757312512 is an apocalyptic number.

12757312512 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 12757312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22343414400).

12757312512 is an abundant number, since it is smaller than the sum of its proper divisors (31929516288).

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

12757312512 is a wasteful number, since it uses less digits than its factorization.

12757312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2314 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The spelling of 12757312512 in words is "twelve billion, seven hundred fifty-seven million, three hundred twelve thousand, five hundred twelve".