120223302003200 has 480 divisors, whose sum is σ = 331511434499520. Its totient is φ = 42838356787200.

The previous prime is 120223302003187. The next prime is 120223302003257. The reversal of 120223302003200 is 2300203322021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2600130482 + ... + 2600176718.

It is an arithmetic number, because the mean of its divisors is an integer number (690648821874).

Almost surely, 2^{120223302003200} is an apocalyptic number.

120223302003200 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 120223302003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165755717249760).

120223302003200 is an abundant number, since it is smaller than the sum of its proper divisors (211288132496320).

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

120223302003200 is a wasteful number, since it uses less digits than its factorization.

120223302003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46648 (or 46627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 120223302003200 its reverse (2300203322021), we get a palindrome (122523505325221).

The spelling of 120223302003200 in words is "one hundred twenty trillion, two hundred twenty-three billion, three hundred two million, three thousand, two hundred".