3211113213120 has 224 divisors, whose sum is σ = 10401914476800. Its totient is φ = 839036841984.

The previous prime is 3211113213097. The next prime is 3211113213137. The reversal of 3211113213120 is 213123111123.

It is a super-2 number, since 2×3211113213120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17296146 + ... + 17480814.

It is an arithmetic number, because the mean of its divisors is an integer number (46437118200).

Almost surely, 2^{3211113213120} is an apocalyptic number.

3211113213120 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 3211113213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200957238400).

3211113213120 is an abundant number, since it is smaller than the sum of its proper divisors (7190801263680).

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

3211113213120 is a wasteful number, since it uses less digits than its factorization.

3211113213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185055 (or 185045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 3211113213120 its reverse (213123111123), we get a palindrome (3424236324243).

The spelling of 3211113213120 in words is "three trillion, two hundred eleven billion, one hundred thirteen million, two hundred thirteen thousand, one hundred twenty".