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BaseRepresentation
bin11000011011100
3122011021
43003130
5400013
6133524
751316
oct30334
918137
1012508
119441
1272a4
135902
1447b6
153a8d
hex30dc

12508 has 12 divisors (see below), whose sum is σ = 22680. Its totient is φ = 6032.

The previous prime is 12503. The next prime is 12511. The reversal of 12508 is 80521.

It can be divided in two parts, 1250 and 8, that multiplied together give a 4-th power (10000 = 104).

It is a happy number.

12508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sliding number, since 12508 = 8 + 12500 and 1/8 + 1/12500 = 0.12508.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12491 and 12500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12503) by changing a digit.

12508 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, 183 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

212508 is an apocalyptic number.

It is an amenable number.

12508 is a deficient number, since it is larger than the sum of its proper divisors (10172).

12508 is a wasteful number, since it uses less digits than its factorization.

12508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12508 is about 111.8391702401. The cubic root of 12508 is about 23.2128941403.

The spelling of 12508 in words is "twelve thousand, five hundred eight".

Divisors: 1 2 4 53 59 106 118 212 236 3127 6254 12508