8201112 has 64 divisors (see below), whose sum is σ = 21596160. Its totient is φ = 2592000.

The previous prime is 8201111. The next prime is 8201153. The reversal of 8201112 is 2111028.

8201112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8201091 and 8201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54237 + ... + 54387.

It is an arithmetic number, because the mean of its divisors is an integer number (337440).

Almost surely, 2^8201112 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 8201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10798080).

8201112 is an abundant number, since it is smaller than the sum of its proper divisors (13395048).

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

8201112 is a wasteful number, since it uses less digits than its factorization.

8201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 8201112 is about 2863.7583696953. The cubic root of 8201112 is about 201.6620824797.

The spelling of 8201112 in words is "eight million, two hundred one thousand, one hundred twelve".