3211120133312 has 168 divisors, whose sum is σ = 7914153982176. Its totient is φ = 1265738932224.

The previous prime is 3211120133279. The next prime is 3211120133359. The reversal of 3211120133312 is 2133310211123.

It is a super-2 number, since 2×3211120133312² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20895668 + ... + 21048780.

Almost surely, 2^{3211120133312} is an apocalyptic number.

3211120133312 is a gapful number since it is divisible by the number (32) 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 3211120133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957076991088).

3211120133312 is an abundant number, since it is smaller than the sum of its proper divisors (4703033848864).

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

3211120133312 is a wasteful number, since it uses less digits than its factorization.

3211120133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153435 (or 153412 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3211120133312 its reverse (2133310211123), we get a palindrome (5344430344435).

The spelling of 3211120133312 in words is "three trillion, two hundred eleven billion, one hundred twenty million, one hundred thirty-three thousand, three hundred twelve".