122113121311221 has 64 divisors (see below), whose sum is σ = 177513929429760. Its totient is φ = 74355911884800.

The previous prime is 122113121311183. The next prime is 122113121311231.

122113121311221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122113121311221 - 2¹⁰ = 122113121310197 is a prime.

It is a super-3 number, since 3×122113121311221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122113121311191 and 122113121311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113121311231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1165138021 + ... + 1165242821.

It is an arithmetic number, because the mean of its divisors is an integer number (2773655147340).

Almost surely, 2^{122113121311221} is an apocalyptic number.

It is an amenable number.

122113121311221 is a deficient number, since it is larger than the sum of its proper divisors (55400808118539).

122113121311221 is a wasteful number, since it uses less digits than its factorization.

122113121311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106454.

The product of its digits is 288, while the sum is 24.

The spelling of 122113121311221 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred eleven thousand, two hundred twenty-one".