320112000 has 640 divisors, whose sum is σ = 1347746400. Its totient is φ = 74649600.

The previous prime is 320111977. The next prime is 320112017. The reversal of 320112000 is 211023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16847991 + ... + 16848009.

Almost surely, 2^320112000 is an apocalyptic number.

320112000 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 320112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673873200).

320112000 is an abundant number, since it is smaller than the sum of its proper divisors (1027634400).

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

320112000 is a wasteful number, since it uses less digits than its factorization.

320112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 320112000 is about 17891.6740412964. The cubic root of 320112000 is about 684.0701682401.

Adding to 320112000 its reverse (211023), we get a palindrome (320323023).

The spelling of 320112000 in words is "three hundred twenty million, one hundred twelve thousand".