12933721216 has 32 divisors (see below), whose sum is σ = 27748431900. Its totient is φ = 5969409024.

The previous prime is 12933721201. The next prime is 12933721231. The reversal of 12933721216 is 61212733921.

It is an interprime number because it is at equal distance from previous prime (12933721201) and next prime (12933721231).

It can be written as a sum of positive squares in 2 ways, for example, as 9583626816 + 3350094400 = 97896^2 + 57880^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×12933721216² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3884671 + ... + 3887998.

Almost surely, 2^12933721216 is an apocalyptic number.

12933721216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12933721216 is an abundant number, since it is smaller than the sum of its proper divisors (14814710684).

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

12933721216 is an equidigital number, since it uses as much as digits as its factorization.

12933721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772696 (or 7772684 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The spelling of 12933721216 in words is "twelve billion, nine hundred thirty-three million, seven hundred twenty-one thousand, two hundred sixteen".