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12022013131320 = 2335533136039149
BaseRepresentation
bin1010111011110001011111…
…0100100111101000111000
31120120021220202200001001110
42232330113310213220320
53033432040330200240
641322500411520320
72350363456361643
oct256742764475070
946507822601043
1012022013131320
113915563aaa215
121421b43a590a0
1369289518b78a
142d7c233baa5a
1515cac0794c80
hexaef17d27a38

12022013131320 has 128 divisors (see below), whose sum is σ = 36863937864000. Its totient is φ = 3135332388864.

The previous prime is 12022013131309. The next prime is 12022013131339. The reversal of 12022013131320 is 2313131022021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028895 + ... + 5010254.

Almost surely, 212022013131320 is an apocalyptic number.

12022013131320 is a gapful number since it is divisible by the number (10) 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 12022013131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431968932000).

12022013131320 is an abundant number, since it is smaller than the sum of its proper divisors (24841924732680).

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

12022013131320 is a wasteful number, since it uses less digits than its factorization.

12022013131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039529 (or 6039525 counting only the distinct ones).

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

Adding to 12022013131320 its reverse (2313131022021), we get a palindrome (14335144153341).

The spelling of 12022013131320 in words is "twelve trillion, twenty-two billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 313 318 424 530 626 636 795 939 1060 1252 1272 1565 1590 1878 2120 2504 3130 3180 3756 4695 6260 6360 7512 9390 12520 16589 18780 33178 37560 49767 66356 82945 99534 132712 165890 199068 248835 331780 398136 497670 663560 995340 1990680 6039149 12078298 18117447 24156596 30195745 36234894 48313192 60391490 72469788 90587235 120782980 144939576 181174470 241565960 320074897 362348940 640149794 724697880 960224691 1280299588 1600374485 1890253637 1920449382 2560599176 3200748970 3780507274 3840898764 4801123455 5670760911 6401497940 7561014548 7681797528 9451268185 9602246910 11341521822 12802995880 15122029096 18902536370 19204493820 22683043644 28353804555 37805072740 38408987640 45366087288 56707609110 75610145480 100183442761 113415218220 200366885522 226830436440 300550328283 400733771044 500917213805 601100656566 801467542088 1001834427610 1202201313132 1502751641415 2003668855220 2404402626264 3005503282830 4007337710440 6011006565660 12022013131320