Search a number
-
+
12201 = 37283

12201 has 12 divisors (see below), whose sum is σ = 19152. Its totient is φ = 6888.

The previous prime is 12197. The next prime is 12203. The reversal of 12201 is 10221.

12201 = 15 + 25 + ... + 65.

It is a happy number.

It is not a de Polignac number, because 12201 - 22 = 12197 is a prime.

12201 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 12201.

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 11 ways as a sum of consecutive naturals, for example, 106 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

212201 is an apocalyptic number.

It is an amenable number.

12201 is a deficient number, since it is larger than the sum of its proper divisors (6951).

12201 is an equidigital number, since it uses as much as digits as its factorization.

12201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12201 is about 110.4581368664. The cubic root of 12201 is about 23.0214041454.

Adding to 12201 its reverse (10221), we get a palindrome (22422).

It can be divided in two parts, 1220 and 1, that added together give a palindrome (1221).

The spelling of 12201 in words is "twelve thousand, two hundred one", and thus it is an iban number.

Divisors: 1 3 7 21 49 83 147 249 581 1743 4067 12201