331220112120 has 512 divisors, whose sum is σ = 1242355968000. Its totient is φ = 78081822720.

The previous prime is 331220112109. The next prime is 331220112131. The reversal of 331220112120 is 21211022133.

331220112120 is a `hidden beast` number, since 331 + 2 + 201 + 12 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (331220112109) and next prime (331220112131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331220112093 and 331220112102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19341802 + ... + 19358918.

It is an arithmetic number, because the mean of its divisors is an integer number (2426476500).

Almost surely, 2^331220112120 is an apocalyptic number.

331220112120 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 331220112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621177984000).

331220112120 is an abundant number, since it is smaller than the sum of its proper divisors (911135855880).

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

331220112120 is a wasteful number, since it uses less digits than its factorization.

331220112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17220 (or 17210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331220112120 its reverse (21211022133), we get a palindrome (352431134253).

The spelling of 331220112120 in words is "three hundred thirty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty".