12680072906281 has 15 divisors (see below), whose sum is σ = 13948467560455. Its totient is φ = 11526947305720.

The previous prime is 12680072906261. The next prime is 12680072906339. The reversal of 12680072906281 is 18260927008621.

The square root of 12680072906281 is 3560909.

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

12680072906281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11784740617881 + 895332288400 = 3432891^2 + 946220^2 .

It is not a de Polignac number, because 12680072906281 - 2¹³ = 12680072898089 is a prime.

It is a super-2 number, since 2×12680072906281² (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 (12680072906261) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 430855275 + ... + 430884703.

Almost surely, 2^{12680072906281} is an apocalyptic number.

12680072906281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12680072906281 is the 3560909-th square number.

12680072906281 is the 1780455-th centered octagonal number.

It is an amenable number.

12680072906281 is a deficient number, since it is larger than the sum of its proper divisors (1268394654174).

12680072906281 is an frugal number, since it uses more digits than its factorization.

12680072906281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58902 (or 29440 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 12680072906281 in words is "twelve trillion, six hundred eighty billion, seventy-two million, nine hundred six thousand, two hundred eighty-one".