3323310000120 has 640 divisors, whose sum is σ = 12276079200000. Its totient is φ = 802990817280.

The previous prime is 3323310000091. The next prime is 3323310000133. The reversal of 3323310000120 is 210000133233.

3323310000120 is a `hidden beast` number, since 332 + 3 + 310 + 0 + 0 + 0 + 1 + 20 = 666.

3323310000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3323310000120² (a number of 26 digits) contains 22 as substring.

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 = 3323310000093 and 3323310000102.

It is a congruent number.

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, 4321599096 + ... + 4321599864.

It is an arithmetic number, because the mean of its divisors is an integer number (19181373750).

Almost surely, 2^{3323310000120} is an apocalyptic number.

3323310000120 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 3323310000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138039600000).

3323310000120 is an abundant number, since it is smaller than the sum of its proper divisors (8952769199880).

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

3323310000120 is an equidigital number, since it uses as much as digits as its factorization.

3323310000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3323310000120 its reverse (210000133233), we get a palindrome (3533310133353).

The spelling of 3323310000120 in words is "three trillion, three hundred twenty-three billion, three hundred ten million, one hundred twenty", and thus it is an aban number.