12868657128 has 96 divisors (see below), whose sum is σ = 36627333600. Its totient is φ = 4076521344.

The previous prime is 12868657111. The next prime is 12868657129. The reversal of 12868657128 is 82175686821.

12868657128 is a `hidden beast` number, since 1 + 2 + 8 + 68 + 6 + 571 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12868657129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58383 + ... + 170721.

It is an arithmetic number, because the mean of its divisors is an integer number (381534725).

Almost surely, 2^12868657128 is an apocalyptic number.

12868657128 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 12868657128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313666800).

12868657128 is an abundant number, since it is smaller than the sum of its proper divisors (23758676472).

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

12868657128 is a wasteful number, since it uses less digits than its factorization.

12868657128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112431 (or 112424 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 12868657128 in words is "twelve billion, eight hundred sixty-eight million, six hundred fifty-seven thousand, one hundred twenty-eight".