120320323200 has 1728 divisors, whose sum is σ = 570202701120. Its totient is φ = 23843635200.

The previous prime is 120320323187. The next prime is 120320323217. The reversal of 120320323200 is 2323023021.

It is a happy number.

120320323200 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 323 + 20 + 0 = 666.

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

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, 357033432 + ... + 357033768.

It is an arithmetic number, because the mean of its divisors is an integer number (329978415).

Almost surely, 2^120320323200 is an apocalyptic number.

120320323200 is a gapful number since it is divisible by the number (10) 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 120320323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285101350560).

120320323200 is an abundant number, since it is smaller than the sum of its proper divisors (449882377920).

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

120320323200 is a wasteful number, since it uses less digits than its factorization.

120320323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

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

Adding to 120320323200 its reverse (2323023021), we get a palindrome (122643346221).

The spelling of 120320323200 in words is "one hundred twenty billion, three hundred twenty million, three hundred twenty-three thousand, two hundred".