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12249 = 321361
BaseRepresentation
bin10111111011001
3121210200
42333121
5342444
6132413
750466
oct27731
917720
1012249
119226
127109
135763
14466d
153969
hex2fd9

12249 has 6 divisors (see below), whose sum is σ = 17706. Its totient is φ = 8160.

The previous prime is 12241. The next prime is 12251. The reversal of 12249 is 94221.

12249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 3600 = 93^2 + 60^2 .

It is not a de Polignac number, because 12249 - 23 = 12241 is a prime.

It is a Curzon number.

It is a plaindrome in base 10 and base 14.

It is not an unprimeable number, because it can be changed into a prime (12241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 672 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (2951).

212249 is an apocalyptic number.

It is an amenable number.

12249 is a deficient number, since it is larger than the sum of its proper divisors (5457).

12249 is a wasteful number, since it uses less digits than its factorization.

12249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1364 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 12249 is about 110.6752004742. The cubic root of 12249 is about 23.0515541730.

It can be divided in two parts, 122 and 49, that added together give a palindrome (171).

The spelling of 12249 in words is "twelve thousand, two hundred forty-nine".

Divisors: 1 3 9 1361 4083 12249