122333129984 has 72 divisors (see below), whose sum is σ = 265043681280. Its totient is φ = 56016672768.

The previous prime is 122333129959. The next prime is 122333129993. The reversal of 122333129984 is 489921333221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277937 + ... + 567375.

It is an arithmetic number, because the mean of its divisors is an integer number (3681162240).

Almost surely, 2^122333129984 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 122333129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132521840640).

122333129984 is an abundant number, since it is smaller than the sum of its proper divisors (142710551296).

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

122333129984 is a wasteful number, since it uses less digits than its factorization.

122333129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289595 (or 289581 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The spelling of 122333129984 in words is "one hundred twenty-two billion, three hundred thirty-three million, one hundred twenty-nine thousand, nine hundred eighty-four".