12251 has 2 divisors, whose sum is σ = 12252. Its totient is φ = 12250.

The previous prime is 12241. The next prime is 12253. The reversal of 12251 is 15221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12251 is a prime.

Together with 12253, 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 (12253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6125 + 6126.

It is an arithmetic number, because the mean of its divisors is an integer number (6126).

2¹²²⁵¹ is an apocalyptic number.

12251 is the 50-th centered decagonal number.

12251 is a deficient number, since it is larger than the sum of its proper divisors (1).

12251 is an equidigital number, since it uses as much as digits as its factorization.

12251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20, while the sum is 11.

The square root of 12251 is about 110.6842355532. The cubic root of 12251 is about 23.0528087135.

Adding to 12251 its reverse (15221), we get a palindrome (27472).

The spelling of 12251 in words is "twelve thousand, two hundred fifty-one".