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12207 = 313313
BaseRepresentation
bin10111110101111
3121202010
42332233
5342312
6132303
750406
oct27657
917663
1012207
119198
127093
135730
14463d
15393c
hex2faf

12207 has 8 divisors (see below), whose sum is σ = 17584. Its totient is φ = 7488.

The previous prime is 12203. The next prime is 12211. The reversal of 12207 is 70221.

12207 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12203) and next prime (12211).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12207 - 22 = 12203 is a prime.

It is a Duffinian number.

12207 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 12192 and 12201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12207.

It is not an unprimeable number, because it can be changed into a prime (12203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (2198).

212207 is an apocalyptic number.

12207 is a deficient number, since it is larger than the sum of its proper divisors (5377).

12207 is a wasteful number, since it uses less digits than its factorization.

12207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12207 is about 110.4852931390. The cubic root of 12207 is about 23.0251772183.

Adding to 12207 its reverse (70221), we get a palindrome (82428).

The spelling of 12207 in words is "twelve thousand, two hundred seven", and thus it is an iban number.

Divisors: 1 3 13 39 313 939 4069 12207