322085121120 has 480 divisors, whose sum is σ = 1367456428800. Its totient is φ = 69744374784.

The previous prime is 322085121119. The next prime is 322085121151. The reversal of 322085121120 is 21121580223.

322085121120 is a `hidden beast` number, since 3 + 2 + 20 + 8 + 512 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1630251 + ... + 1817109.

It is an arithmetic number, because the mean of its divisors is an integer number (2848867560).

Almost surely, 2^322085121120 is an apocalyptic number.

322085121120 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 322085121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683728214400).

322085121120 is an abundant number, since it is smaller than the sum of its proper divisors (1045371307680).

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

322085121120 is a wasteful number, since it uses less digits than its factorization.

322085121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186912 (or 186895 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 322085121120 in words is "three hundred twenty-two billion, eighty-five million, one hundred twenty-one thousand, one hundred twenty".