12586371721 has 81 divisors (see below), whose sum is σ = 16990544781. Its totient is φ = 9289249200.

The previous prime is 12586371697. The next prime is 12586371731. The reversal of 12586371721 is 12717368521.

The square root of 12586371721 is 112189.

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

12586371721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12586371721 - 2¹³ = 12586363529 is a prime.

Its product of digits (141120) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12586371731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 267795120 + ... + 267795166.

Almost surely, 2^12586371721 is an apocalyptic number.

12586371721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12586371721 is the 112189-th square number.

12586371721 is the 56095-th centered octagonal number.

It is an amenable number.

12586371721 is a deficient number, since it is larger than the sum of its proper divisors (4404173060).

12586371721 is an equidigital number, since it uses as much as digits as its factorization.

12586371721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its digits is 141120, while the sum is 43.

The spelling of 12586371721 in words is "twelve billion, five hundred eighty-six million, three hundred seventy-one thousand, seven hundred twenty-one".