122111121111221 has 12 divisors (see below), whose sum is σ = 136421664373932. Its totient is φ = 109190272224000.

The previous prime is 122111121111209. The next prime is 122111121111277.

122111121111221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 36178480671025 + 85932640440196 = 6014855^2 + 9269986^2 .

It is not a de Polignac number, because 122111121111221 - 2⁶ = 122111121111157 is a prime.

It is a super-2 number, since 2×122111121111221² (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 = 122111121111193 and 122111121111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111121111121) 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, 8271982940 + ... + 8271997701.

It is an arithmetic number, because the mean of its divisors is an integer number (11368472031161).

Almost surely, 2^{122111121111221} is an apocalyptic number.

122111121111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111121111221 is a deficient number, since it is larger than the sum of its proper divisors (14310543262711).

122111121111221 is a wasteful number, since it uses less digits than its factorization.

122111121111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16543980724 (or 16543980713 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

The spelling of 122111121111221 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".