Search a number
12123 = 33449
BaseRepresentation
bin10111101011011
3121122000
42331123
5341443
6132043
750226
oct27533
917560
1012123
119121
127023
135697
1445bd
1538d3
hex2f5b

12123 has 8 divisors (see below), whose sum is σ = 18000. Its totient is φ = 8064.

The previous prime is 12119. The next prime is 12143. The reversal of 12123 is 32121.

It is a happy number.

12123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

12123 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 12123 - 22 = 12119 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12113) 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, 198 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

212123 is an apocalyptic number.

12123 is a deficient number, since it is larger than the sum of its proper divisors (5877).

12123 is an equidigital number, since it uses as much as digits as its factorization.

12123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

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

The square root of 12123 is about 110.1044958210. The cubic root of 12123 is about 22.9722412436.

Adding to 12123 its reverse (32121), we get a palindrome (44244).

It can be divided in two parts, 121 and 23, that added together give a square (144 = 122).

The spelling of 12123 in words is "twelve thousand, one hundred twenty-three", and thus it is an iban number.

Divisors: 1 3 9 27 449 1347 4041 12123