321120312032 has 192 divisors, whose sum is σ = 718663337280. Its totient is φ = 140209864704.

The previous prime is 321120312011. The next prime is 321120312067. The reversal of 321120312032 is 230213021123.

It is a junction number, because it is equal to n+sod(n) for n = 321120311995 and 321120312013.

It is a congruent number.

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, 143548418 + ... + 143550654.

It is an arithmetic number, because the mean of its divisors is an integer number (3743038215).

Almost surely, 2^321120312032 is an apocalyptic number.

321120312032 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 321120312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359331668640).

321120312032 is an abundant number, since it is smaller than the sum of its proper divisors (397543025248).

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

321120312032 is a wasteful number, since it uses less digits than its factorization.

321120312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 321120312032 its reverse (230213021123), we get a palindrome (551333333155).

The spelling of 321120312032 in words is "three hundred twenty-one billion, one hundred twenty million, three hundred twelve thousand, thirty-two".