320001312120 has 128 divisors (see below), whose sum is σ = 1097981706240. Its totient is φ = 73087534080.

The previous prime is 320001312067. The next prime is 320001312139. The reversal of 320001312120 is 21213100023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320001312120.

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, 965449 + ... + 1253831.

It is an arithmetic number, because the mean of its divisors is an integer number (8577982080).

Almost surely, 2^320001312120 is an apocalyptic number.

320001312120 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 320001312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548990853120).

320001312120 is an abundant number, since it is smaller than the sum of its proper divisors (777980394120).

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

320001312120 is a wasteful number, since it uses less digits than its factorization.

320001312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289725 (or 289721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320001312120 its reverse (21213100023), we get a palindrome (341214412143).

The spelling of 320001312120 in words is "three hundred twenty billion, one million, three hundred twelve thousand, one hundred twenty".