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12522 = 232087
BaseRepresentation
bin11000011101010
3122011210
43003222
5400042
6133550
751336
oct30352
918153
1012522
119454
1272b6
135913
1447c6
153a9c
hex30ea

12522 has 8 divisors (see below), whose sum is σ = 25056. Its totient is φ = 4172.

The previous prime is 12517. The next prime is 12527. The reversal of 12522 is 22521.

12522 is digitally balanced in base 2, 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 (12517) and next prime (12527).

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

12522 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 12498 and 12507.

It is not an unprimeable number, because it can be changed into a prime (12527) by changing a digit.

12522 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 3 ways as a sum of consecutive naturals, for example, 1038 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (3132).

12522 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (12528).

12522 is a wasteful number, since it uses less digits than its factorization.

12522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092.

The product of its digits is 40, while the sum is 12.

The square root of 12522 is about 111.9017426138. The cubic root of 12522 is about 23.2215515155.

Subtracting 12522 from its reverse (22521), we obtain a palindrome (9999).

The spelling of 12522 in words is "twelve thousand, five hundred twenty-two".

Divisors: 1 2 3 6 2087 4174 6261 12522