112013200 has 90 divisors (see below), whose sum is σ = 291580854. Its totient is φ = 41333760.

The previous prime is 112013183. The next prime is 112013201. The reversal of 112013200 is 2310211.

It can be written as a sum of positive squares in 9 ways, for example, as 81144064 + 30869136 = 9008^2 + 5556^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112013201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66772 + ... + 68428.

Almost surely, 2^112013200 is an apocalyptic number.

112013200 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 112013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145790427).

112013200 is an abundant number, since it is smaller than the sum of its proper divisors (179567654).

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

112013200 is a wasteful number, since it uses less digits than its factorization.

112013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112013200 is about 10583.6288672648. The cubic root of 112013200 is about 482.0473889232.

Adding to 112013200 its reverse (2310211), we get a palindrome (114323411).

The spelling of 112013200 in words is "one hundred twelve million, thirteen thousand, two hundred".