321232113312 has 192 divisors, whose sum is σ = 927084662784. Its totient is φ = 96583818240.

The previous prime is 321232113299. The next prime is 321232113331. The reversal of 321232113312 is 213311232123.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 216026233 + ... + 216027719.

It is an arithmetic number, because the mean of its divisors is an integer number (4828565952).

Almost surely, 2^321232113312 is an apocalyptic number.

321232113312 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 321232113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463542331392).

321232113312 is an abundant number, since it is smaller than the sum of its proper divisors (605852549472).

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

321232113312 is a wasteful number, since it uses less digits than its factorization.

321232113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2963 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 321232113312 its reverse (213311232123), we get a palindrome (534543345435).

The spelling of 321232113312 in words is "three hundred twenty-one billion, two hundred thirty-two million, one hundred thirteen thousand, three hundred twelve".