112185216 has 256 divisors, whose sum is σ = 390700800. Its totient is φ = 31242240.

The previous prime is 112185209. The next prime is 112185217. The reversal of 112185216 is 612581211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112185216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112185217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494095 + ... + 494321.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^112185216 is an apocalyptic number.

112185216 is a gapful number since it is divisible by the number (16) 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 112185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

112185216 is an abundant number, since it is smaller than the sum of its proper divisors (278515584).

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

112185216 is a wasteful number, since it uses less digits than its factorization.

112185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 112185216 is about 10591.7522629639. The cubic root of 112185216 is about 482.2940189448.

The spelling of 112185216 in words is "one hundred twelve million, one hundred eighty-five thousand, two hundred sixteen".