12972934425616 has 135 divisors (see below), whose sum is σ = 27920763138429. Its totient is φ = 5834909520000.

The previous prime is 12972934425613. The next prime is 12972934425637. The reversal of 12972934425616 is 61652443927921.

The square root of 12972934425616 is 3601796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9042073056016 + 3930861369600 = 3007004^2 + 1982640^2 .

It is a super-2 number, since 2×12972934425616² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12972934425613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17274213241 + ... + 17274213991.

Almost surely, 2^{12972934425616} is an apocalyptic number.

12972934425616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12972934425616 is the 3601796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972934425616

12972934425616 is an abundant number, since it is smaller than the sum of its proper divisors (14947828712813).

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

12972934425616 is an frugal number, since it uses more digits than its factorization.

12972934425616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 873 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 61.

The spelling of 12972934425616 in words is "twelve trillion, nine hundred seventy-two billion, nine hundred thirty-four million, four hundred twenty-five thousand, six hundred sixteen".