122414464414221 has 64 divisors (see below), whose sum is σ = 190630698393600. Its totient is φ = 68417712599040.

The previous prime is 122414464414213. The next prime is 122414464414267.

122414464414221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122414464414221 - 2³ = 122414464414213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122414464414201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13465451886 + ... + 13465460976.

It is an arithmetic number, because the mean of its divisors is an integer number (2978604662400).

Almost surely, 2^{122414464414221} is an apocalyptic number.

It is an amenable number.

122414464414221 is a deficient number, since it is larger than the sum of its proper divisors (68216233979379).

122414464414221 is a wasteful number, since it uses less digits than its factorization.

122414464414221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16634.

The product of its digits is 393216, while the sum is 42.

The spelling of 122414464414221 in words is "one hundred twenty-two trillion, four hundred fourteen billion, four hundred sixty-four million, four hundred fourteen thousand, two hundred twenty-one".