320211120 has 80 divisors (see below), whose sum is σ = 994436352. Its totient is φ = 85236480.

The previous prime is 320211119. The next prime is 320211137. The reversal of 320211120 is 21112023.

320211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×320211120² = 205070322743308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 320211096 and 320211105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211165 + ... + 212675.

Almost surely, 2^320211120 is an apocalyptic number.

320211120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320211120 is an abundant number, since it is smaller than the sum of its proper divisors (674225232).

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

320211120 is a wasteful number, since it uses less digits than its factorization.

320211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 320211120 is about 17894.4438304184. The cubic root of 320211120 is about 684.1407664868.

Adding to 320211120 its reverse (21112023), we get a palindrome (341323143).

The spelling of 320211120 in words is "three hundred twenty million, two hundred eleven thousand, one hundred twenty".