122334433221 has 128 divisors (see below), whose sum is σ = 228294291456. Its totient is φ = 56221102080.

The previous prime is 122334433153. The next prime is 122334433229.

It is a happy number.

122334433221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122334433221 - 2¹⁴ = 122334416837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122334433229) 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 127 ways as a sum of consecutive naturals, for example, 7436221 + ... + 7452653.

It is an arithmetic number, because the mean of its divisors is an integer number (1783549152).

Almost surely, 2^122334433221 is an apocalyptic number.

122334433221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122334433221 is a deficient number, since it is larger than the sum of its proper divisors (105959858235).

122334433221 is a wasteful number, since it uses less digits than its factorization.

122334433221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16571.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 122334 and 433221, that added together give a palindrome (555555).

The spelling of 122334433221 in words is "one hundred twenty-two billion, three hundred thirty-four million, four hundred thirty-three thousand, two hundred twenty-one".