320023123200 has 1944 divisors, whose sum is σ = 1386326128824. Its totient is φ = 70071091200.

The previous prime is 320023123177. The next prime is 320023123241. The reversal of 320023123200 is 2321320023.

It is a happy number.

320023123200 is a `hidden beast` number, since 3 + 200 + 231 + 232 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5005845504 + 315017277696 = 70752^2 + 561264^2 .

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 215 ways as a sum of consecutive naturals, for example, 4383878364 + ... + 4383878436.

Almost surely, 2^320023123200 is an apocalyptic number.

320023123200 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 320023123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693163064412).

320023123200 is an abundant number, since it is smaller than the sum of its proper divisors (1066303005624).

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

320023123200 is a wasteful number, since it uses less digits than its factorization.

320023123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

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

Adding to 320023123200 its reverse (2321320023), we get a palindrome (322344443223).

The spelling of 320023123200 in words is "three hundred twenty billion, twenty-three million, one hundred twenty-three thousand, two hundred".