331002120 has 64 divisors (see below), whose sum is σ = 994213440. Its totient is φ = 88160000.

The previous prime is 331002109. The next prime is 331002137. The reversal of 331002120 is 21200133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 331002096 and 331002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173170 + ... + 175070.

It is an arithmetic number, because the mean of its divisors is an integer number (15534585).

Almost surely, 2^331002120 is an apocalyptic number.

331002120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331002120 is an abundant number, since it is smaller than the sum of its proper divisors (663211320).

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

331002120 is a wasteful number, since it uses less digits than its factorization.

331002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 331002120 is about 18193.4636614362. The cubic root of 331002120 is about 691.7411184836.

Adding to 331002120 its reverse (21200133), we get a palindrome (352202253).

The spelling of 331002120 in words is "three hundred thirty-one million, two thousand, one hundred twenty".