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12006 = 2322329
BaseRepresentation
bin10111011100110
3121110200
42323212
5341011
6131330
750001
oct27346
917420
1012006
119025
126b46
135607
144538
153856
hex2ee6

12006 has 24 divisors (see below), whose sum is σ = 28080. Its totient is φ = 3696.

The previous prime is 11987. The next prime is 12007. The reversal of 12006 is 60021.

12006 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

12006 is a Friedman number, since it can be written as 2001*6, using all its digits and the basic arithmetic operations.

212006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040).

12006 is an abundant number, since it is smaller than the sum of its proper divisors (16074).

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

12006 is a wasteful number, since it uses less digits than its factorization.

12006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12006 is about 109.5718942065. The cubic root of 12006 is about 22.8980999294.

Adding to 12006 its reverse (60021), we get a palindrome (72027).

The spelling of 12006 in words is "twelve thousand, six".