206112 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 64512.

The previous prime is 206083. The next prime is 206123. The reversal of 206112 is 211602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

206112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1768 + ... + 1880.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2²⁰⁶¹¹² 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 206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

206112 is an abundant number, since it is smaller than the sum of its proper divisors (368448).

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

206112 is a wasteful number, since it uses less digits than its factorization.

206112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 206112 is about 453.9955946923. The cubic root of 206112 is about 59.0701072198.

Adding to 206112 its reverse (211602), we get a palindrome (417714).

The spelling of 206112 in words is "two hundred six thousand, one hundred twelve".