32321312220120 has 256 divisors, whose sum is σ = 120909579033600. Its totient is φ = 6715034818560.

The previous prime is 32321312220061. The next prime is 32321312220157. The reversal of 32321312220120 is 2102221312323.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57720846 + ... + 58278114.

It is an arithmetic number, because the mean of its divisors is an integer number (472303043100).

Almost surely, 2^{32321312220120} is an apocalyptic number.

32321312220120 is a gapful number since it is divisible by the number (30) 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 32321312220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60454789516800).

32321312220120 is an abundant number, since it is smaller than the sum of its proper divisors (88588266813480).

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

32321312220120 is a wasteful number, since it uses less digits than its factorization.

32321312220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563578 (or 563574 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32321312220120 its reverse (2102221312323), we get a palindrome (34423533532443).

The spelling of 32321312220120 in words is "thirty-two trillion, three hundred twenty-one billion, three hundred twelve million, two hundred twenty thousand, one hundred twenty".