Search a number
-
+
12123011130230 = 2571121328469161
BaseRepresentation
bin1011000001101001101111…
…0001011010001101110110
31120220221121111012222102202
42300122123301122031312
53042110411322131410
641441122345304502
72360600342245160
oct260323361321566
946827544188382
1012123011130230
113954381811700
12143962ba95132
1369c26c687600
142dca84bc7930
15160532417ca5
hexb069bc5a376

12123011130230 has 144 divisors (see below), whose sum is σ = 29682854484192. Its totient is φ = 3487938854400.

The previous prime is 12123011130199. The next prime is 12123011130257. The reversal of 12123011130230 is 3203111032121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2803151 + ... + 5666010.

It is an arithmetic number, because the mean of its divisors is an integer number (206130933918).

Almost surely, 212123011130230 is an apocalyptic number.

12123011130230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12123011130230 is an abundant number, since it is smaller than the sum of its proper divisors (17559843353962).

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

12123011130230 is a wasteful number, since it uses less digits than its factorization.

12123011130230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469223 (or 8469199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12123011130230 its reverse (3203111032121), we get a palindrome (15326122162351).

The spelling of 12123011130230 in words is "twelve trillion, one hundred twenty-three billion, eleven million, one hundred thirty thousand, two hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 169 182 242 286 338 385 455 605 715 770 845 847 910 1001 1183 1210 1430 1573 1690 1694 1859 2002 2366 3146 3718 4235 5005 5915 7865 8470 9295 10010 11011 11830 13013 15730 18590 20449 22022 26026 40898 55055 65065 102245 110110 130130 143143 204490 286286 715715 1431430 8469161 16938322 42345805 59284127 84691610 93160771 110099093 118568254 186321542 220198186 296420635 465803855 550495465 592841270 652125397 770693651 931607710 1024768481 1100990930 1211090023 1304250794 1431288209 1541387302 2049536962 2422180046 2862576418 3260626985 3853468255 5123842405 6055450115 6521253970 7156441045 7173379367 7706936510 8477630161 10019017463 10247684810 12110900230 13321990253 14312882090 14346758734 15744170299 16955260322 20038034926 26643980506 31488340598 35866896835 42388150805 50095087315 66609951265 71733793670 78720851495 84776301610 93253931771 100190174630 110209192093 133219902530 157441702990 173185873289 186507863542 220418384186 346371746578 466269658855 551045960465 865929366445 932539317710 1102091920930 1212301113023 1731858732890 2424602226046 6061505565115 12123011130230