320211303120 has 180 divisors, whose sum is σ = 1134954848196. Its totient is φ = 80895421440.

The previous prime is 320211302977. The next prime is 320211303229. The reversal of 320211303120 is 21303112023.

320211303120 is a `hidden beast` number, since 32 + 0 + 211 + 303 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132746550336 + 187464752784 = 364344^2 + 432972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 320211303093 and 320211303102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 356061 + ... + 875900.

Almost surely, 2^320211303120 is an apocalyptic number.

320211303120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320211303120 is an abundant number, since it is smaller than the sum of its proper divisors (814743545076).

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

320211303120 is a wasteful number, since it uses less digits than its factorization.

320211303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232018 (or 1231990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320211303120 its reverse (21303112023), we get a palindrome (341514415143).

The spelling of 320211303120 in words is "three hundred twenty billion, two hundred eleven million, three hundred three thousand, one hundred twenty".