122333202333221 has 48 divisors (see below), whose sum is σ = 135506642632704. Its totient is φ = 110354106720000.

The previous prime is 122333202333203. The next prime is 122333202333227.

122333202333221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122333202333221 - 2²² = 122333198138917 is a prime.

It is a super-3 number, since 3×122333202333221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122333202333227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18008711801 + ... + 18008718593.

It is an arithmetic number, because the mean of its divisors is an integer number (2823055054848).

Almost surely, 2^{122333202333221} is an apocalyptic number.

122333202333221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122333202333221 is a deficient number, since it is larger than the sum of its proper divisors (13173440299483).

122333202333221 is a wasteful number, since it uses less digits than its factorization.

122333202333221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 12233320 and 2333221, that added together give a palindrome (14566541).

The spelling of 122333202333221 in words is "one hundred twenty-two trillion, three hundred thirty-three billion, two hundred two million, three hundred thirty-three thousand, two hundred twenty-one".