12257011611 has 56 divisors (see below), whose sum is σ = 20955170880. Its totient is φ = 7098990336.

The previous prime is 12257011589. The next prime is 12257011619. The reversal of 12257011611 is 11611075221.

12257011611 is a `hidden beast` number, since 1 + 22 + 570 + 11 + 61 + 1 = 666.

It is not a de Polignac number, because 12257011611 - 2⁵ = 12257011579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12257011619) 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 55 ways as a sum of consecutive naturals, for example, 123070 + ... + 199148.

It is an arithmetic number, because the mean of its divisors is an integer number (374199480).

Almost surely, 2^12257011611 is an apocalyptic number.

12257011611 is a deficient number, since it is larger than the sum of its proper divisors (8698159269).

12257011611 is an equidigital number, since it uses as much as digits as its factorization.

12257011611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76127 (or 76112 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 12257011611 its reverse (11611075221), we get a palindrome (23868086832).

The spelling of 12257011611 in words is "twelve billion, two hundred fifty-seven million, eleven thousand, six hundred eleven".