122112121211221 has 16 divisors (see below), whose sum is σ = 128785051324800. Its totient is φ = 115463999527488.

The previous prime is 122112121211207. The next prime is 122112121211317.

122112121211221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122112121211221 - 2⁵ = 122112121211189 is a prime.

It is a super-2 number, since 2×122112121211221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112121211192 and 122112121211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112121211321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17935575 + ... + 23788843.

It is an arithmetic number, because the mean of its divisors is an integer number (8049065707800).

Almost surely, 2^{122112121211221} is an apocalyptic number.

It is an amenable number.

122112121211221 is a deficient number, since it is larger than the sum of its proper divisors (6672930113579).

122112121211221 is a wasteful number, since it uses less digits than its factorization.

122112121211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855388.

The product of its digits is 128, while the sum is 22.

The spelling of 122112121211221 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".