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12131322312 = 2331937219433
BaseRepresentation
bin10110100110001010…
…10100100111001000
31011022110020000200210
423103011110213020
5144321104303222
65323440201120
7606424352424
oct132305244710
934273200623
1012131322312
1151658a700a
1224269091a0
1311b4424135
14831243b84
154b0060d0c
hex2d31549c8

12131322312 has 96 divisors (see below), whose sum is σ = 32812365600. Its totient is φ = 3727213056.

The previous prime is 12131322299. The next prime is 12131322323. The reversal of 12131322312 is 21322313121.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614548 + ... + 633980.

It is an arithmetic number, because the mean of its divisors is an integer number (341795475).

Almost surely, 212131322312 is an apocalyptic number.

12131322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406182800).

12131322312 is an abundant number, since it is smaller than the sum of its proper divisors (20681043288).

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

12131322312 is a wasteful number, since it uses less digits than its factorization.

12131322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535 (or 19494 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12131322312 its reverse (21322313121), we get a palindrome (33453635433).

The spelling of 12131322312 in words is "twelve billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1369 1406 2109 2738 2812 4107 4218 5476 5624 8214 8436 10952 16428 16872 19433 26011 32856 38866 52022 58299 77732 78033 104044 116598 155464 156066 208088 233196 312132 369227 466392 624264 719021 738454 1107681 1438042 1476908 2157063 2215362 2876084 2953816 4314126 4430724 5752168 8628252 8861448 13661399 17256504 26603777 27322798 40984197 53207554 54645596 79811331 81968394 106415108 109291192 159622662 163936788 212830216 319245324 327873576 505471763 638490648 1010943526 1516415289 2021887052 3032830578 4043774104 6065661156 12131322312