### Properties of the number 12229:

12229 = 7 × 1747 is semiprime and squarefree.12229 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 10476 totatives.

12229 has an oblong digit product 72 in base 10.

Reversing the decimal digits of 12229 results in a prime.

12229 = 6115

^{2}- 6114

^{2}= 877

^{2}- 870

^{2}is the difference of 2 nonnegative squares in 2 ways.

12229 is the difference of 2 positive pentagonal numbers in 2 ways.

12229 = 23

^{2}+ 60

^{2}+ 90

^{2}is the sum of 3 positive squares.

12229

^{2}is the sum of 3 positive squares.

12229 is a divisor of 547

^{9}- 1.

12229 is an emirpimes in (at least) the following bases: 2, 3, 4, 5, 11, 16, 17, 19, 24, 25, 27, 29, 31, 35, 38, 39, 41, 43, 46, 53, 58, 59, 67, 71, 72, 73, 75, 80, 82, 86, 87, 93, 94, and 97.

12229 is palindromic in (at least) base -42.

12229 in base 41 = 7BB and consists of only the digits '7' and 'B'.

### The number 12229 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A016849: Expansion of 1/((1-3x)(1-4x)(1-8x)).

A031846: Period of continued fraction for sqrt(n) contains exactly 78 ones.

A058829: Numbers n such that 6^n - n is prime.

A114958: a(n) = 6*2^(n+1) - 5*(n+1) - 4.

A126094: Numbers k such that prime(k) = A123206(n).

A150909: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (1, 0, -1), (1, 0, 1), (1, 1, 1)}

A152233: Similar to A072921 but starting with 4.

A182307: a(n+1) = a(n) + floor(a(n)/6) with a(0)=6.

A237821: Number of partitions of n such that 2*(least part) <= greatest part.

A245402: Number of nonnegative integers with property that their base 7/6 expansion (see A024643) has n digits.

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