Search a number

12168 has 36 divisors (see below), whose sum is σ = 35685. Its totient is φ = 3744.

The previous prime is 12163. The next prime is 12197. The reversal of 12168 is 86121.

12168 = 35 + 45 + ... + 65.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 233+1.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 1764 = 102^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12168.

It is not an unprimeable number, because it can be changed into a prime (12161) by changing a digit.

12168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 930 + ... + 942.

212168 is an apocalyptic number.

12168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12168

12168 is an abundant number, since it is smaller than the sum of its proper divisors (23517).

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

12168 is a wasteful number, since it uses less digits than its factorization.

12168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 18 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12168 is about 110.3086578651. The cubic root of 12168 is about 23.0006301025. Note that the first 3 decimals are identical.

Multiplying 12168 by its sum of digits (18), we get a square (219024 = 4682).

12168 divided by its sum of digits (18) gives a palindrome (676).

Adding to 12168 its reverse (86121), we get a palindrome (98289).

It can be divided in two parts, 121 and 68, that multiplied together give a palindrome (8228).

The spelling of 12168 in words is "twelve thousand, one hundred sixty-eight".