3302212110120 has 1152 divisors, whose sum is σ = 13876547892480. Its totient is φ = 673311744000.

The previous prime is 3302212110097. The next prime is 3302212110181. The reversal of 3302212110120 is 210112122033.

3302212110120 is a `hidden beast` number, since 330 + 2 + 2 + 1 + 211 + 0 + 120 = 666.

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 = 3302212110093 and 3302212110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3871291614 + ... + 3871292466.

It is an arithmetic number, because the mean of its divisors is an integer number (12045614490).

Almost surely, 2^{3302212110120} is an apocalyptic number.

3302212110120 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 3302212110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938273946240).

3302212110120 is an abundant number, since it is smaller than the sum of its proper divisors (10574335782360).

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

3302212110120 is a wasteful number, since it uses less digits than its factorization.

3302212110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1233 counting only the distinct ones).

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

Adding to 3302212110120 its reverse (210112122033), we get a palindrome (3512324232153).

The spelling of 3302212110120 in words is "three trillion, three hundred two billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".