122321 has 2 divisors, whose sum is σ = 122322. Its totient is φ = 122320.

The previous prime is 122299. The next prime is 122323. The reversal of 122321 is 123221.

It is a happy number.

122321 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96721 + 25600 = 311^2 + 160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122321 is a prime.

Together with 122323, 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 (122323) 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, 61160 + 61161.

It is an arithmetic number, because the mean of its divisors is an integer number (61161).

2¹²²³²¹ is an apocalyptic number.

It is an amenable number.

122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122321 is an equidigital number, since it uses as much as digits as its factorization.

122321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 11.

The square root of 122321 is about 349.7441922320. The cubic root of 122321 is about 49.6402173383.

Adding to 122321 its reverse (123221), we get a palindrome (245542).

Subtracting 122321 from its reverse (123221), we obtain a square (900 = 30²).

It can be divided in two parts, 1 and 22321, that added together give a palindrome (22322).

The spelling of 122321 in words is "one hundred twenty-two thousand, three hundred twenty-one", and thus it is an iban number.