Search a number
-
+
12204 = 2233113
BaseRepresentation
bin10111110101100
3121202000
42332230
5342304
6132300
750403
oct27654
917660
1012204
119195
127090
13572a
14463a
153939
hex2fac

12204 has 24 divisors (see below), whose sum is σ = 31920. Its totient is φ = 4032.

The previous prime is 12203. The next prime is 12211. The reversal of 12204 is 40221.

Adding to 12204 its reverse (40221), we get a palindrome (52425).

It can be divided in two parts, 12 and 204, that added together give a cube (216 = 63).

It is a Harshad number since it is a multiple of its sum of digits (9).

12204 is an undulating number in base 15.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

212204 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 12204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960).

12204 is an abundant number, since it is smaller than the sum of its proper divisors (19716).

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

12204 is a wasteful number, since it uses less digits than its factorization.

12204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12204 is about 110.4717158371. The cubic root of 12204 is about 23.0232908364.

The spelling of 12204 in words is "twelve thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204