12751387128 has 192 divisors, whose sum is σ = 36755634240. Its totient is φ = 3985293312.

The previous prime is 12751387079. The next prime is 12751387133. The reversal of 12751387128 is 82178315721.

12751387128 is a `hidden beast` number, since 1 + 2 + 7 + 513 + 8 + 7 + 128 = 666.

It is a congruent number.

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, 37837776 + ... + 37838112.

It is an arithmetic number, because the mean of its divisors is an integer number (191435595).

Almost surely, 2^12751387128 is an apocalyptic number.

12751387128 is a gapful number since it is divisible by the number (18) 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 12751387128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377817120).

12751387128 is an abundant number, since it is smaller than the sum of its proper divisors (24004247112).

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

12751387128 is a wasteful number, since it uses less digits than its factorization.

12751387128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 751 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 12751387128 in words is "twelve billion, seven hundred fifty-one million, three hundred eighty-seven thousand, one hundred twenty-eight".