112195200 has 384 divisors, whose sum is σ = 424972800. Its totient is φ = 25804800.

The previous prime is 112195199. The next prime is 112195201. The reversal of 112195200 is 2591211.

It is an interprime number because it is at equal distance from previous prime (112195199) and next prime (112195201).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (112195201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619185 + ... + 3619215.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^112195200 is an apocalyptic number.

112195200 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 112195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

112195200 is an abundant number, since it is smaller than the sum of its proper divisors (312777600).

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

112195200 is a wasteful number, since it uses less digits than its factorization.

112195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 112195200 is about 10592.2235625953. The cubic root of 112195200 is about 482.3083258824.

The spelling of 112195200 in words is "one hundred twelve million, one hundred ninety-five thousand, two hundred".