122211424112221 has 4 divisors (see below), whose sum is σ = 123421438212444. Its totient is φ = 121001410012000.

The previous prime is 122211424112161. The next prime is 122211424112231.

122211424112221 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66408058984996 + 55803365127225 = 8149114^2 + 7470165^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211424112221 - 2³⁹ = 121661668298333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122211424112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211424112231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605007049960 + ... + 605007050161.

It is an arithmetic number, because the mean of its divisors is an integer number (30855359553111).

Almost surely, 2^{122211424112221} is an apocalyptic number.

It is an amenable number.

122211424112221 is a deficient number, since it is larger than the sum of its proper divisors (1210014100223).

122211424112221 is a wasteful number, since it uses less digits than its factorization.

122211424112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210014100222.

The product of its digits is 2048, while the sum is 28.

The spelling of 122211424112221 in words is "one hundred twenty-two trillion, two hundred eleven billion, four hundred twenty-four million, one hundred twelve thousand, two hundred twenty-one".