3310011222120 has 192 divisors, whose sum is σ = 11121454880640. Its totient is φ = 853125696000.

The previous prime is 3310011222079. The next prime is 3310011222151. The reversal of 3310011222120 is 212221100133.

3310011222120 is a `hidden beast` number, since 3 + 310 + 0 + 11 + 222 + 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 = 3310011222093 and 3310011222102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188475 + ... + 2834165.

It is an arithmetic number, because the mean of its divisors is an integer number (57924244170).

Almost surely, 2^{3310011222120} is an apocalyptic number.

3310011222120 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 3310011222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560727440320).

3310011222120 is an abundant number, since it is smaller than the sum of its proper divisors (7811443658520).

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

3310011222120 is a wasteful number, since it uses less digits than its factorization.

3310011222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645896 (or 1645889 counting only the distinct ones).

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

Adding to 3310011222120 its reverse (212221100133), we get a palindrome (3522232322253).

The spelling of 3310011222120 in words is "three trillion, three hundred ten billion, eleven million, two hundred twenty-two thousand, one hundred twenty".