200112120 has 160 divisors (see below), whose sum is σ = 724489920. Its totient is φ = 49248000.

The previous prime is 200112109. The next prime is 200112127. The reversal of 200112120 is 21211002.

200112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200112127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39745 + ... + 44495.

It is an arithmetic number, because the mean of its divisors is an integer number (4528062).

Almost surely, 2^200112120 is an apocalyptic number.

200112120 is a gapful number since it is divisible by the number (20) 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 200112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362244960).

200112120 is an abundant number, since it is smaller than the sum of its proper divisors (524377800).

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

200112120 is a wasteful number, since it uses less digits than its factorization.

200112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200112120 is about 14146.0991089417. The cubic root of 200112120 is about 584.9128075177.

Adding to 200112120 its reverse (21211002), we get a palindrome (221323122).

The spelling of 200112120 in words is "two hundred million, one hundred twelve thousand, one hundred twenty".