12000257 has 2 divisors, whose sum is σ = 12000258. Its totient is φ = 12000256.

The previous prime is 12000253. The next prime is 12000259. The reversal of 12000257 is 75200021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11999296 + 961 = 3464^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000257 - 2² = 12000253 is a prime.

It is a super-3 number, since 3×12000257³ (a number of 22 digits) contains 333 as substring.

Together with 12000259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12000253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000128 + 6000129.

It is an arithmetic number, because the mean of its divisors is an integer number (6000129).

Almost surely, 2^12000257 is an apocalyptic number.

It is an amenable number.

12000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000257 is an equidigital number, since it uses as much as digits as its factorization.

12000257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 12000257 is about 3464.1387096939. The cubic root of 12000257 is about 228.9444828966.

Adding to 12000257 its reverse (75200021), we get a palindrome (87200278).

The spelling of 12000257 in words is "twelve million, two hundred fifty-seven", and thus it is an aban number.