322125876120 has 256 divisors, whose sum is σ = 1049741913600. Its totient is φ = 78800117760.

The previous prime is 322125876119. The next prime is 322125876151. The reversal of 322125876120 is 21678521223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17790912 + ... + 17809008.

It is an arithmetic number, because the mean of its divisors is an integer number (4100554350).

Almost surely, 2^322125876120 is an apocalyptic number.

322125876120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322125876120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524870956800).

322125876120 is an abundant number, since it is smaller than the sum of its proper divisors (727616037480).

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

322125876120 is a wasteful number, since it uses less digits than its factorization.

322125876120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18378 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 322125876120 in words is "three hundred twenty-two billion, one hundred twenty-five million, eight hundred seventy-six thousand, one hundred twenty".