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12512 = 251723
BaseRepresentation
bin11000011100000
3122011102
43003200
5400022
6133532
751323
oct30340
918142
1012512
119445
1272a8
135906
1447ba
153a92
hex30e0

12512 has 24 divisors (see below), whose sum is σ = 27216. Its totient is φ = 5632.

The previous prime is 12511. The next prime is 12517. The reversal of 12512 is 21521.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12493 and 12502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

212512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

12512 is an abundant number, since it is smaller than the sum of its proper divisors (14704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12512 is a wasteful number, since it uses less digits than its factorization.

12512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

The product of its digits is 20, while the sum is 11.

The square root of 12512 is about 111.8570516329. The cubic root of 12512 is about 23.2153683350.

Subtracting 12512 from its reverse (21521), we obtain a palindrome (9009).

The spelling of 12512 in words is "twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 3128 6256 12512