321132322112 has 112 divisors (see below), whose sum is σ = 736711597440. Its totient is φ = 136038776832.

The previous prime is 321132322103. The next prime is 321132322139. The reversal of 321132322112 is 211223231123.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38367464 + ... + 38375832.

It is an arithmetic number, because the mean of its divisors is an integer number (6577782120).

Almost surely, 2^321132322112 is an apocalyptic number.

321132322112 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 321132322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368355798720).

321132322112 is an abundant number, since it is smaller than the sum of its proper divisors (415579275328).

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

321132322112 is an equidigital number, since it uses as much as digits as its factorization.

321132322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9358 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 321132322112 its reverse (211223231123), we get a palindrome (532355553235).

The spelling of 321132322112 in words is "three hundred twenty-one billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred twelve".