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BaseRepresentation
bin10111111111100
3121211222
42333330
5343114
6132512
750546
oct27774
917758
1012284
119258
127138
13578c
144696
15398e
hex2ffc

12284 has 12 divisors (see below), whose sum is σ = 22344. Its totient is φ = 5904.

The previous prime is 12281. The next prime is 12289. The reversal of 12284 is 48221.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1862).

212284 is an apocalyptic number.

It is an amenable number.

12284 is a deficient number, since it is larger than the sum of its proper divisors (10060).

12284 is a wasteful number, since it uses less digits than its factorization.

12284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 12284 is about 110.8332080200. The cubic root of 12284 is about 23.0734889477.

Subtracting 12284 from its reverse (48221), we obtain a cube (35937 = 333).

The spelling of 12284 in words is "twelve thousand, two hundred eighty-four".

Divisors: 1 2 4 37 74 83 148 166 332 3071 6142 12284