3311221203120 has 160 divisors (see below), whose sum is σ = 10497996656640. Its totient is φ = 862984258560.

The previous prime is 3311221203083. The next prime is 3311221203163. The reversal of 3311221203120 is 213021221133.

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 31 ways as a sum of consecutive naturals, for example, 7790505 + ... + 8204535.

It is an arithmetic number, because the mean of its divisors is an integer number (65612479104).

Almost surely, 2^{3311221203120} is an apocalyptic number.

3311221203120 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 3311221203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248998328320).

3311221203120 is an abundant number, since it is smaller than the sum of its proper divisors (7186775453520).

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

3311221203120 is a wasteful number, since it uses less digits than its factorization.

3311221203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414803 (or 414797 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3311221203120 its reverse (213021221133), we get a palindrome (3524242424253).

The spelling of 3311221203120 in words is "three trillion, three hundred eleven billion, two hundred twenty-one million, two hundred three thousand, one hundred twenty".