122112343211221 has 12 divisors (see below), whose sum is σ = 134237423794432. Its totient is φ = 110999008989000.

The previous prime is 122112343211189. The next prime is 122112343211239.

122112343211221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122112343211221 - 2⁵ = 122112343211189 is a prime.

It is a super-2 number, since 2×122112343211221² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 122112343211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112343211921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54405045 + ... + 56605066.

Almost surely, 2^{122112343211221} is an apocalyptic number.

122112343211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112343211221 is a deficient number, since it is larger than the sum of its proper divisors (12125080583211).

122112343211221 is a wasteful number, since it uses less digits than its factorization.

122112343211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111019224 (or 111019213 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 12211 and 2343211221, that added together give a palindrome (2343223432).

The spelling of 122112343211221 in words is "one hundred twenty-two trillion, one hundred twelve billion, three hundred forty-three million, two hundred eleven thousand, two hundred twenty-one".