112308192 has 72 divisors (see below), whose sum is σ = 326210976. Its totient is φ = 36635136.

The previous prime is 112308187. The next prime is 112308199. The reversal of 112308192 is 291803211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×112308192² = 25226259980617728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112308199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9388 + ... + 17684.

It is an arithmetic number, because the mean of its divisors is an integer number (4530708).

Almost surely, 2^112308192 is an apocalyptic number.

112308192 is a gapful number since it is divisible by the number (12) 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 112308192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163105488).

112308192 is an abundant number, since it is smaller than the sum of its proper divisors (213902784).

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

112308192 is a wasteful number, since it uses less digits than its factorization.

112308192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112308192 is about 10597.5559446506. Note that the first 3 decimals coincide. The cubic root of 112308192 is about 482.4701827709.

The spelling of 112308192 in words is "one hundred twelve million, three hundred eight thousand, one hundred ninety-two".