320112223200 has 864 divisors, whose sum is σ = 1441757221632. Its totient is φ = 64889856000.

The previous prime is 320112223177. The next prime is 320112223237. The reversal of 320112223200 is 2322211023.

320112223200 is a `hidden beast` number, since 320 + 1 + 1 + 2 + 22 + 320 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22723359 + ... + 22737441.

It is an arithmetic number, because the mean of its divisors is an integer number (1668700488).

Almost surely, 2^320112223200 is an apocalyptic number.

320112223200 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 320112223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720878610816).

320112223200 is an abundant number, since it is smaller than the sum of its proper divisors (1121644998432).

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

320112223200 is a wasteful number, since it uses less digits than its factorization.

320112223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14168 (or 14152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320112223200 its reverse (2322211023), we get a palindrome (322434434223).

The spelling of 320112223200 in words is "three hundred twenty billion, one hundred twelve million, two hundred twenty-three thousand, two hundred".