3312000120 has 256 divisors, whose sum is σ = 11734087680. Its totient is φ = 737280000.

The previous prime is 3312000091. The next prime is 3312000151. The reversal of 3312000120 is 210002133.

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 = 3312000096 and 3312000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4409745 + ... + 4410495.

It is an arithmetic number, because the mean of its divisors is an integer number (45836280).

Almost surely, 2^3312000120 is an apocalyptic number.

3312000120 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 3312000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867043840).

3312000120 is an abundant number, since it is smaller than the sum of its proper divisors (8422087560).

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

3312000120 is a wasteful number, since it uses less digits than its factorization.

3312000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

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

The square root of 3312000120 is about 57549.9793223247. The cubic root of 3312000120 is about 1490.6080007467.

Adding to 3312000120 its reverse (210002133), we get a palindrome (3522002253).

The spelling of 3312000120 in words is "three billion, three hundred twelve million, one hundred twenty", and thus it is an aban number.