12257129 has 2 divisors, whose sum is σ = 12257130. Its totient is φ = 12257128.

The previous prime is 12257117. The next prime is 12257173. The reversal of 12257129 is 92175221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9610000 + 2647129 = 3100^2 + 1627^2 .

It is a cyclic number.

It is not a de Polignac number, because 12257129 - 2¹⁶ = 12191593 is a prime.

It is a super-2 number, since 2×12257129² = 300474422645282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12257429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6128564 + 6128565.

It is an arithmetic number, because the mean of its divisors is an integer number (6128565).

Almost surely, 2^12257129 is an apocalyptic number.

It is an amenable number.

12257129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12257129 is an equidigital number, since it uses as much as digits as its factorization.

12257129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 29.

The square root of 12257129 is about 3501.0182804436. The cubic root of 12257129 is about 230.5665240267.

The spelling of 12257129 in words is "twelve million, two hundred fifty-seven thousand, one hundred twenty-nine".