112007200 has 36 divisors (see below), whose sum is σ = 273439530. Its totient is φ = 44802560.

The previous prime is 112007167. The next prime is 112007209. The reversal of 112007200 is 2700211.

It can be written as a sum of positive squares in 3 ways, for example, as 83832336 + 28174864 = 9156^2 + 5308^2 .

It is a super-2 number, since 2×112007200² = 25091225703680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112007209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69205 + ... + 70804.

Almost surely, 2^112007200 is an apocalyptic number.

112007200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112007200 is an abundant number, since it is smaller than the sum of its proper divisors (161432330).

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

112007200 is a wasteful number, since it uses less digits than its factorization.

112007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140029 (or 140016 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 112007200 is about 10583.3454068173. The cubic root of 112007200 is about 482.0387817948.

Adding to 112007200 its reverse (2700211), we get a palindrome (114707411).

The spelling of 112007200 in words is "one hundred twelve million, seven thousand, two hundred".