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12208 = 247109
BaseRepresentation
bin10111110110000
3121202011
42332300
5342313
6132304
750410
oct27660
917664
1012208
119199
127094
135731
144640
15393d
hex2fb0

12208 has 20 divisors (see below), whose sum is σ = 27280. Its totient is φ = 5184.

The previous prime is 12203. The next prime is 12211. The reversal of 12208 is 80221.

It is not an unprimeable number, because it can be changed into a prime (12203) by changing a digit.

12208 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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (1364).

212208 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 12208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640).

12208 is an abundant number, since it is smaller than the sum of its proper divisors (15072).

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

12208 is a wasteful number, since it uses less digits than its factorization.

12208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12208 is about 110.4898185355. The cubic root of 12208 is about 23.0258059436.

Adding to 12208 its sum of digits (13), we get a palindrome (12221).

Adding to 12208 its reverse (80221), we get a palindrome (92429).

It can be divided in two parts, 1 and 2208, that added together give a square (2209 = 472).

The spelling of 12208 in words is "twelve thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 1526 1744 3052 6104 12208