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12108 = 2231009
BaseRepresentation
bin10111101001100
3121121110
42331030
5341413
6132020
750205
oct27514
917543
1012108
119108
127010
135685
1445ac
1538c3
hex2f4c

12108 has 12 divisors (see below), whose sum is σ = 28280. Its totient is φ = 4032.

The previous prime is 12107. The next prime is 12109. The reversal of 12108 is 80121.

It is a happy number.

12108 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (12107) and next prime (12109).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1009 = 12108 / (1 + 2 + 1 + 0 + 8).

12108 is a modest number, since divided by 108 gives 12 as remainder.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 12093 and 12102.

It is not an unprimeable number, because it can be changed into a prime (12101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493 + ... + 516.

12108 is a Friedman number, since it can be written as 110^2+8, using all its digits and the basic arithmetic operations.

212108 is an apocalyptic number.

It is an amenable number.

12108 is an abundant number, since it is smaller than the sum of its proper divisors (16172).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14140).

12108 is a wasteful number, since it uses less digits than its factorization.

12108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12108 is about 110.0363576278. The cubic root of 12108 is about 22.9627626812.

Adding to 12108 its reverse (80121), we get a palindrome (92229).

It can be divided in two parts, 12 and 108, that multiplied together give a 4-th power (1296 = 64).

The spelling of 12108 in words is "twelve thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 1009 2018 3027 4036 6054 12108