122251 has 2 divisors, whose sum is σ = 122252. Its totient is φ = 122250.

The previous prime is 122231. The next prime is 122263. The reversal of 122251 is 152221.

122251 is nontrivially palindromic in base 11.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122251 - 2⁵ = 122219 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122201) 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, 61125 + 61126.

It is an arithmetic number, because the mean of its divisors is an integer number (61126).

2¹²²²⁵¹ is an apocalyptic number.

122251 is a deficient number, since it is larger than the sum of its proper divisors (1).

122251 is an equidigital number, since it uses as much as digits as its factorization.

122251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40, while the sum is 13.

The square root of 122251 is about 349.6441047694. The cubic root of 122251 is about 49.6307464154.

Adding to 122251 its reverse (152221), we get a palindrome (274472).

It can be divided in two parts, 122 and 251, that added together give a palindrome (373).

The spelling of 122251 in words is "one hundred twenty-two thousand, two hundred fifty-one".