122213464312221 has 48 divisors (see below), whose sum is σ = 183107009030400. Its totient is φ = 78484301481600.

The previous prime is 122213464312207. The next prime is 122213464312223.

122213464312221 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 3 + 4 + 643 + 1 + 2 + 2 + 2 + 1 = 666.

122213464312221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122213464312221 - 2⁵ = 122213464312189 is a prime.

It is a super-2 number, since 2×122213464312221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213464312223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662444236 + ... + 662628698.

It is an arithmetic number, because the mean of its divisors is an integer number (3814729354800).

Almost surely, 2^{122213464312221} is an apocalyptic number.

It is an amenable number.

122213464312221 is a deficient number, since it is larger than the sum of its proper divisors (60893544718179).

122213464312221 is a wasteful number, since it uses less digits than its factorization.

122213464312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204306 (or 204303 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 122213464312221 in words is "one hundred twenty-two trillion, two hundred thirteen billion, four hundred sixty-four million, three hundred twelve thousand, two hundred twenty-one".