112003200 has 144 divisors (see below), whose sum is σ = 399755850. Its totient is φ = 29859840.

The previous prime is 112003189. The next prime is 112003211. The reversal of 112003200 is 2300211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112003189) and next prime (112003211).

It can be written as a sum of positive squares in 3 ways, for example, as 93547584 + 18455616 = 9672^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26856 + ... + 30744.

Almost surely, 2^112003200 is an apocalyptic number.

112003200 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 112003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199877925).

112003200 is an abundant number, since it is smaller than the sum of its proper divisors (287752650).

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

112003200 is a wasteful number, since it uses less digits than its factorization.

112003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112003200 is about 10583.1564289677. The cubic root of 112003200 is about 482.0330435385.

Adding to 112003200 its reverse (2300211), we get a palindrome (114303411).

It can be divided in two parts, 11200 and 3200, that added together give a square (14400 = 120²).

The spelling of 112003200 in words is "one hundred twelve million, three thousand, two hundred".