122344443221 has 128 divisors (see below), whose sum is σ = 170793004032. Its totient is φ = 85307904000.

The previous prime is 122344443097. The next prime is 122344443223.

It is a happy number.

122344443221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122344443221 - 2¹⁸ = 122344181077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122344443223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 893025065 + ... + 893025201.

It is an arithmetic number, because the mean of its divisors is an integer number (1334320344).

Almost surely, 2^122344443221 is an apocalyptic number.

122344443221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122344443221 is a deficient number, since it is larger than the sum of its proper divisors (48448560811).

122344443221 is a wasteful number, since it uses less digits than its factorization.

122344443221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 122344 and 443221, that added together give a palindrome (565565).

The spelling of 122344443221 in words is "one hundred twenty-two billion, three hundred forty-four million, four hundred forty-three thousand, two hundred twenty-one".