122314222413221 has 2 divisors, whose sum is σ = 122314222413222. Its totient is φ = 122314222413220.

The previous prime is 122314222413203. The next prime is 122314222413259.

It is a happy number.

122314222413221 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122309775390625 + 4447022596 = 11059375^2 + 66686^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122314222413221 is a prime.

It is a super-3 number, since 3×122314222413221³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122314222413281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61157111206610 + 61157111206611.

It is an arithmetic number, because the mean of its divisors is an integer number (61157111206611).

Almost surely, 2^{122314222413221} is an apocalyptic number.

It is an amenable number.

122314222413221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122314222413221 is an equidigital number, since it uses as much as digits as its factorization.

122314222413221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18432, while the sum is 32.

The spelling of 122314222413221 in words is "one hundred twenty-two trillion, three hundred fourteen billion, two hundred twenty-two million, four hundred thirteen thousand, two hundred twenty-one".