320120320032 has 72 divisors (see below), whose sum is σ = 949922273664. Its totient is φ = 102067346304.

The previous prime is 320120320031. The next prime is 320120320087. The reversal of 320120320032 is 230023021023.

It is a happy number.

320120320032 is a `hidden beast` number, since 320 + 1 + 20 + 320 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320120319987 and 320120320014.

It is not an unprimeable number, because it can be changed into a prime (320120320031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24157048 + ... + 24170295.

It is an arithmetic number, because the mean of its divisors is an integer number (13193364912).

Almost surely, 2^320120320032 is an apocalyptic number.

320120320032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320120320032 is an abundant number, since it is smaller than the sum of its proper divisors (629801953632).

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

320120320032 is a wasteful number, since it uses less digits than its factorization.

320120320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48327382 (or 48327371 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320120320032 its reverse (230023021023), we get a palindrome (550143341055).

The spelling of 320120320032 in words is "three hundred twenty billion, one hundred twenty million, three hundred twenty thousand, thirty-two".