12868918272 has 264 divisors, whose sum is σ = 44706480000. Its totient is φ = 3482984448.

The previous prime is 12868918261. The next prime is 12868918273. The reversal of 12868918272 is 27281986821.

12868918272 is a `hidden beast` number, since 1 + 286 + 8 + 91 + 8 + 272 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868918273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220479 + ... + 1230977.

Almost surely, 2^12868918272 is an apocalyptic number.

12868918272 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 12868918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353240000).

12868918272 is an abundant number, since it is smaller than the sum of its proper divisors (31837561728).

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

12868918272 is a wasteful number, since it uses less digits than its factorization.

12868918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10530 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 12868918272 in words is "twelve billion, eight hundred sixty-eight million, nine hundred eighteen thousand, two hundred seventy-two".