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12015 = 33589
BaseRepresentation
bin10111011101111
3121111000
42323233
5341030
6131343
750013
oct27357
917430
1012015
119033
126b53
135613
144543
153860
hex2eef

12015 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 6336.

The previous prime is 12011. The next prime is 12037. The reversal of 12015 is 51021.

12015 = 472 + 482 + ... + 512.

It is a happy number.

12015 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 12015 - 22 = 12011 is a prime.

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

12015 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11988 and 12006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011) 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 15 ways as a sum of consecutive naturals, for example, 91 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

212015 is an apocalyptic number.

12015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12015 is a deficient number, since it is larger than the sum of its proper divisors (9585).

12015 is an equidigital number, since it uses as much as digits as its factorization.

12015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 12015 is about 109.6129554387. The cubic root of 12015 is about 22.9038201645.

Adding to 12015 its reverse (51021), we get a palindrome (63036).

It can be divided in two parts, 1 and 2015, that added together give a triangular number (2016 = T63).

The spelling of 12015 in words is "twelve thousand, fifteen".

Divisors: 1 3 5 9 15 27 45 89 135 267 445 801 1335 2403 4005 12015