12257275221 has 6 divisors (see below), whose sum is σ = 17704953110. Its totient is φ = 8171516808.

The previous prime is 12257275211. The next prime is 12257275249.

12257275221 is a `hidden beast` number, since 12 + 2 + 572 + 7 + 52 + 21 = 666.

12257275221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 11048322321 + 1208952900 = 105111^2 + 34770^2 .

It is not a de Polignac number, because 12257275221 - 2⁹ = 12257274709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12257275211) 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 5 ways as a sum of consecutive naturals, for example, 680959726 + ... + 680959743.

Almost surely, 2^12257275221 is an apocalyptic number.

It is an amenable number.

12257275221 is a deficient number, since it is larger than the sum of its proper divisors (5447677889).

12257275221 is a wasteful number, since it uses less digits than its factorization.

12257275221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361919475 (or 1361919472 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The spelling of 12257275221 in words is "twelve billion, two hundred fifty-seven million, two hundred seventy-five thousand, two hundred twenty-one".