122164222461221 has 32 divisors (see below), whose sum is σ = 135015874213248. Its totient is φ = 110048673679360.

The previous prime is 122164222461199. The next prime is 122164222461283.

122164222461221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122164222461221 - 2¹⁰ = 122164222460197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122164222461521) 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 31 ways as a sum of consecutive naturals, for example, 499430870 + ... + 499675416.

It is an arithmetic number, because the mean of its divisors is an integer number (4219246069164).

Almost surely, 2^{122164222461221} is an apocalyptic number.

It is an amenable number.

122164222461221 is a deficient number, since it is larger than the sum of its proper divisors (12851651752027).

122164222461221 is a wasteful number, since it uses less digits than its factorization.

122164222461221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258181.

The product of its digits is 73728, while the sum is 38.

The spelling of 122164222461221 in words is "one hundred twenty-two trillion, one hundred sixty-four billion, two hundred twenty-two million, four hundred sixty-one thousand, two hundred twenty-one".