3312120 has 64 divisors (see below), whose sum is σ = 11358720. Its totient is φ = 756864.

The previous prime is 3312109. The next prime is 3312139. The reversal of 3312120 is 212133.

It is a happy number.

3312120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3312096 and 3312105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132 + ... + 2811.

It is an arithmetic number, because the mean of its divisors is an integer number (177480).

Almost surely, 2^3312120 is an apocalyptic number.

3312120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3312120 is an abundant number, since it is smaller than the sum of its proper divisors (8046600).

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

3312120 is a wasteful number, since it uses less digits than its factorization.

3312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3960 counting only the distinct ones).

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

The square root of 3312120 is about 1819.9230752974. The cubic root of 3312120 is about 149.0625985039.

Adding to 3312120 its reverse (212133), we get a palindrome (3524253).

The spelling of 3312120 in words is "three million, three hundred twelve thousand, one hundred twenty".