12086583721 has 27 divisors (see below), whose sum is σ = 13357282341. Its totient is φ = 10934093184.

The previous prime is 12086583703. The next prime is 12086583731. The reversal of 12086583721 is 12738568021.

The square root of 12086583721 is 109939.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1194739225 + 10891844496 = 34565^2 + 104364^2 .

It is not a de Polignac number, because 12086583721 - 2²⁹ = 11549712809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12086583731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54199816 + ... + 54200038.

Almost surely, 2^12086583721 is an apocalyptic number.

12086583721 is the 109939-th square number.

12086583721 is the 54970-th centered octagonal number.

It is an amenable number.

12086583721 is a deficient number, since it is larger than the sum of its proper divisors (1270698620).

12086583721 is an frugal number, since it uses more digits than its factorization.

12086583721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 12086583721 in words is "twelve billion, eighty-six million, five hundred eighty-three thousand, seven hundred twenty-one".