112192000 has 80 divisors (see below), whose sum is σ = 279917352. Its totient is φ = 44851200.

The previous prime is 112191997. The next prime is 112192019. The reversal of 112192000 is 291211.

It can be written as a sum of positive squares in 4 ways, for example, as 7661824 + 104530176 = 2768^2 + 10224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63124 + ... + 64876.

Almost surely, 2^112192000 is an apocalyptic number.

112192000 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 112192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139958676).

112192000 is an abundant number, since it is smaller than the sum of its proper divisors (167725352).

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

112192000 is an frugal number, since it uses more digits than its factorization.

112192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 112192000 is about 10592.0725073047. The cubic root of 112192000 is about 482.3037404179.

The spelling of 112192000 in words is "one hundred twelve million, one hundred ninety-two thousand".