Search a number
-
+
12011112221220 = 22325767142278041
BaseRepresentation
bin1010111011001000111000…
…0100111100101000100100
31120112020210001200102121100
42232302032010330220210
53033242224212034340
641313455003320100
72346526362230640
oct256621604745044
946466701612540
1012011112221220
11391097a7a1102
12141ba01220030
13691848949608
142d74ab741c20
1515c68377a830
hexaec8e13ca24

12011112221220 has 144 divisors (see below), whose sum is σ = 42259993147008. Its totient is φ = 2704420984320.

The previous prime is 12011112221191. The next prime is 12011112221243. The reversal of 12011112221220 is 2212221111021.

12011112221220 is a `hidden beast` number, since 1 + 201 + 11 + 12 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011112221193 and 12011112221202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71054601 + ... + 71223440.

It is an arithmetic number, because the mean of its divisors is an integer number (293472174632).

Almost surely, 212011112221220 is an apocalyptic number.

12011112221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011112221220 is an abundant number, since it is smaller than the sum of its proper divisors (30248880925788).

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

12011112221220 is a wasteful number, since it uses less digits than its factorization.

12011112221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142278130 (or 142278125 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12011112221220 its reverse (2212221111021), we get a palindrome (14223333332241).

The spelling of 12011112221220 in words is "twelve trillion, eleven billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1005 1206 1260 1340 1407 1876 2010 2345 2412 2814 3015 4020 4221 4690 5628 6030 7035 8442 9380 12060 14070 16884 21105 28140 42210 84420 142278041 284556082 426834123 569112164 711390205 853668246 995946287 1280502369 1422780410 1707336492 1991892574 2134170615 2561004738 2845560820 2987838861 3983785148 4268341230 4979731435 5122009476 5975677722 6402511845 8536682460 8963516583 9532628747 9959462870 11951355444 12805023690 14939194305 17927033166 19065257494 19918925740 25610047380 28597886241 29878388610 35854066332 38130514988 44817582915 47663143735 57195772482 59756777220 66728401229 85793658723 89635165830 95326287470 114391544964 133456802458 142989431205 171587317446 179270331660 190652574940 200185203687 266913604916 285978862410 333642006145 343174634892 400370407374 428968293615 571957724820 600555611061 667284012290 800740814748 857936587230 1000926018435 1201111222122 1334568024580 1715873174460 2001852036870 2402222444244 3002778055305 4003704073740 6005556110610 12011112221220