331120122233220 has 480 divisors, whose sum is σ = 1116592646400000. Its totient is φ = 81889398081792.

The previous prime is 331120122233213. The next prime is 331120122233249. The reversal of 331120122233220 is 22332221021133.

331120122233220 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 201 + 2 + 2 + 233 + 220 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 433647331 + ... + 434410229.

It is an arithmetic number, because the mean of its divisors is an integer number (2326234680000).

Almost surely, 2^{331120122233220} is an apocalyptic number.

331120122233220 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 331120122233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558296323200000).

331120122233220 is an abundant number, since it is smaller than the sum of its proper divisors (785472524166780).

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

331120122233220 is a wasteful number, since it uses less digits than its factorization.

331120122233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763237 (or 763226 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 331120122233220 its reverse (22332221021133), we get a palindrome (353452343254353).

The spelling of 331120122233220 in words is "three hundred thirty-one trillion, one hundred twenty billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred twenty".