112213200 has 120 divisors (see below), whose sum is σ = 392180256. Its totient is φ = 27200000.

The previous prime is 112213169. The next prime is 112213201. The reversal of 112213200 is 2312211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112213201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8950 + ... + 17450.

Almost surely, 2^112213200 is an apocalyptic number.

112213200 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 112213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196090128).

112213200 is an abundant number, since it is smaller than the sum of its proper divisors (279967056).

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

112213200 is a wasteful number, since it uses less digits than its factorization.

112213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8533 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112213200 is about 10593.0732084698. The cubic root of 112213200 is about 482.3341174957.

Adding to 112213200 its reverse (2312211), we get a palindrome (114525411).

It can be divided in two parts, 112 and 213200, that added together give a palindrome (213312).

The spelling of 112213200 in words is "one hundred twelve million, two hundred thirteen thousand, two hundred".