12916798272 has 896 divisors, whose sum is σ = 49418240000. Its totient is φ = 3292047360.

The previous prime is 12916798261. The next prime is 12916798283. The reversal of 12916798272 is 27289761921.

12916798272 is a `hidden beast` number, since 129 + 167 + 98 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (12916798261) and next prime (12916798283).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 349102638 + ... + 349102674.

Almost surely, 2^12916798272 is an apocalyptic number.

12916798272 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 12916798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24709120000).

12916798272 is an abundant number, since it is smaller than the sum of its proper divisors (36501441728).

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

12916798272 is a wasteful number, since it uses less digits than its factorization.

12916798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 12916798272 in words is "twelve billion, nine hundred sixteen million, seven hundred ninety-eight thousand, two hundred seventy-two".