112244616 has 192 divisors, whose sum is σ = 357739200. Its totient is φ = 32659200.

The previous prime is 112244551. The next prime is 112244689. The reversal of 112244616 is 616442211.

112244616 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 44 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112244616.

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 47 ways as a sum of consecutive naturals, for example, 620046 + ... + 620226.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 2^112244616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112244616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

112244616 is an abundant number, since it is smaller than the sum of its proper divisors (245494584).

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

112244616 is a wasteful number, since it uses less digits than its factorization.

112244616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 112244616 is about 10594.5559604922. Note that the first 3 decimals coincide. The cubic root of 112244616 is about 482.3791258510.

Adding to 112244616 its reverse (616442211), we get a palindrome (728686827).

The spelling of 112244616 in words is "one hundred twelve million, two hundred forty-four thousand, six hundred sixteen".