112120200 has 168 divisors, whose sum is σ = 391348650. Its totient is φ = 29859840.

The previous prime is 112120187. The next prime is 112120207. The reversal of 112120200 is 2021211.

It can be written as a sum of positive squares in 3 ways, for example, as 77475204 + 34644996 = 8802^2 + 5886^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145416 + ... + 146184.

Almost surely, 2^112120200 is an apocalyptic number.

112120200 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 112120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195674325).

112120200 is an abundant number, since it is smaller than the sum of its proper divisors (279228450).

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

112120200 is an equidigital number, since it uses as much as digits as its factorization.

112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

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

The square root of 112120200 is about 10588.6826376089. The cubic root of 112120200 is about 482.2008311240.

Adding to 112120200 its reverse (2021211), we get a palindrome (114141411).

It can be divided in two parts, 1121 and 20200, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 112120200 in words is "one hundred twelve million, one hundred twenty thousand, two hundred".