12981039732241 has 15 divisors (see below), whose sum is σ = 15143851226171. Its totient is φ = 11126454162096.

The previous prime is 12981039732223. The next prime is 12981039732299. The reversal of 12981039732241 is 14223793018921.

The square root of 12981039732241 is 3602921.

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., 9131752690641 + 3849287041600 = 3021879^2 + 1961960^2 .

It is not a de Polignac number, because 12981039732241 - 2⁵ = 12981039732209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12981039738241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 176506365 + ... + 176579893.

Almost surely, 2^{12981039732241} is an apocalyptic number.

12981039732241 is the 3602921-st square number.

12981039732241 is the 1801461-st centered octagonal number.

It is an amenable number.

12981039732241 is a deficient number, since it is larger than the sum of its proper divisors (2162811493930).

12981039732241 is an frugal number, since it uses more digits than its factorization.

12981039732241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147086 (or 73536 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 12981039732241 in words is "twelve trillion, nine hundred eighty-one billion, thirty-nine million, seven hundred thirty-two thousand, two hundred forty-one".