12701392128 has 108 divisors (see below), whose sum is σ = 36663620448. Its totient is φ = 4228899840.

The previous prime is 12701392103. The next prime is 12701392133. The reversal of 12701392128 is 82129310721.

12701392128 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-2 number, since 2×12701392128² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12701392092 and 12701392101.

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 11 ways as a sum of consecutive naturals, for example, 2372751 + ... + 2378097.

Almost surely, 2^12701392128 is an apocalyptic number.

12701392128 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 12701392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18331810224).

12701392128 is an abundant number, since it is smaller than the sum of its proper divisors (23962228320).

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

12701392128 is a wasteful number, since it uses less digits than its factorization.

12701392128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12701392128 in words is "twelve billion, seven hundred one million, three hundred ninety-two thousand, one hundred twenty-eight".