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12130866 = 23211197311
BaseRepresentation
bin101110010001…
…101000110010
3211211022102100
4232101220302
511101141431
61112001230
7205052646
oct56215062
924738370
1012130866
116936110
124090216
132689737
14187ac26
1510e94e6
hexb91a32

12130866 has 48 divisors (see below), whose sum is σ = 28911168. Its totient is φ = 3645600.

The previous prime is 12130861. The next prime is 12130879. The reversal of 12130866 is 66803121.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12130861) 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 23 ways as a sum of consecutive naturals, for example, 38851 + ... + 39161.

It is an arithmetic number, because the mean of its divisors is an integer number (602316).

Almost surely, 212130866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14455584).

12130866 is an abundant number, since it is smaller than the sum of its proper divisors (16780302).

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

12130866 is a wasteful number, since it uses less digits than its factorization.

12130866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12130866 is about 3482.9392759564. The cubic root of 12130866 is about 229.7720867686.

Adding to 12130866 its reverse (66803121), we get a palindrome (78933987).

It can be divided in two parts, 12130 and 866, that added together give a square (12996 = 1142).

The spelling of 12130866 in words is "twelve million, one hundred thirty thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 197 198 311 394 591 622 933 1182 1773 1866 2167 2799 3421 3546 4334 5598 6501 6842 10263 13002 19503 20526 30789 39006 61267 61578 122534 183801 367602 551403 673937 1102806 1347874 2021811 4043622 6065433 12130866