12872944681 has 9 divisors (see below), whose sum is σ = 13459700919. Its totient is φ = 12310755336.

The previous prime is 12872944673. The next prime is 12872944687. The reversal of 12872944681 is 18644927821.

The square root of 12872944681 is 113459.

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., 4015123225 + 8857821456 = 63365^2 + 94116^2 .

It is not a de Polignac number, because 12872944681 - 2³ = 12872944673 is a prime.

It is a super-2 number, since 2×12872944681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12872944687) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2607091 + ... + 2612023.

Almost surely, 2^12872944681 is an apocalyptic number.

12872944681 is the 113459-th square number.

12872944681 is the 56730-th centered octagonal number.

It is an amenable number.

12872944681 is a deficient number, since it is larger than the sum of its proper divisors (586756238).

12872944681 is an frugal number, since it uses more digits than its factorization.

12872944681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9912 (or 4956 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The spelling of 12872944681 in words is "twelve billion, eight hundred seventy-two million, nine hundred forty-four thousand, six hundred eighty-one".