3211313332122 has 144 divisors (see below), whose sum is σ = 8111028586752. Its totient is φ = 915569867520.

The previous prime is 3211313332099. The next prime is 3211313332153. The reversal of 3211313332122 is 2212333131123.

3211313332122 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 313 + 3 + 321 + 22 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1416546433 + ... + 1416548699.

It is an arithmetic number, because the mean of its divisors is an integer number (56326587408).

Almost surely, 2^{3211313332122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3211313332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055514293376).

3211313332122 is an abundant number, since it is smaller than the sum of its proper divisors (4899715254630).

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

3211313332122 is a wasteful number, since it uses less digits than its factorization.

3211313332122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4983 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 3211313332122 its reverse (2212333131123), we get a palindrome (5423646463245).

The spelling of 3211313332122 in words is "three trillion, two hundred eleven billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred twenty-two".