122332334004444 has 384 divisors, whose sum is σ = 313225474867200. Its totient is φ = 37047048192000.

The previous prime is 122332334004401. The next prime is 122332334004473. The reversal of 122332334004444 is 444400433233221.

It is a happy number.

It is a super-2 number, since 2×122332334004444² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 43674519844 + ... + 43674522644.

It is an arithmetic number, because the mean of its divisors is an integer number (815691340800).

Almost surely, 2^{122332334004444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122332334004444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156612737433600).

122332334004444 is an abundant number, since it is smaller than the sum of its proper divisors (190893140862756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122332334004444 is a wasteful number, since it uses less digits than its factorization.

122332334004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 122332334004444 its reverse (444400433233221), we get a palindrome (566732767237665).

The spelling of 122332334004444 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, three hundred thirty-four million, four thousand, four hundred forty-four".