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12012121211220 = 223251328669179057
BaseRepresentation
bin1010111011001100101000…
…1101111100000101010100
31120112100101101021102200100
42232303022031330011110
53033301311012224340
641314143045414100
72346563363423514
oct256631215740524
946470341242610
1012012121211220
1139113482a5239
12142004310a330
136919799b3710
142d756574d844
1515c6e2135830
hexaecca37c154

12012121211220 has 144 divisors (see below), whose sum is σ = 39241183821840. Its totient is φ = 2956710187008.

The previous prime is 12012121211201. The next prime is 12012121211227. The reversal of 12012121211220 is 2211212121021.

12012121211220 is a `hidden beast` number, since 1 + 20 + 1 + 212 + 1 + 211 + 220 = 666.

12012121211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 824340516624 + 11187780694596 = 907932^2 + 3344814^2 .

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 = 12012121211193 and 12012121211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012121211227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66995932 + ... + 67174988.

It is an arithmetic number, because the mean of its divisors is an integer number (272508220985).

Almost surely, 212012121211220 is an apocalyptic number.

12012121211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012121211220 is an abundant number, since it is smaller than the sum of its proper divisors (27229062610620).

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

12012121211220 is a wasteful number, since it uses less digits than its factorization.

12012121211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207754 (or 207749 counting only the distinct ones).

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

Adding to 12012121211220 its reverse (2211212121021), we get a palindrome (14223333332241).

The spelling of 12012121211220 in words is "twelve trillion, twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 28669 57338 86007 114676 143345 172014 179057 258021 286690 344028 358114 372697 430035 516042 537171 573380 716228 745394 860070 895285 1032084 1074342 1118091 1290105 1490788 1611513 1720140 1790570 1863485 2148684 2236182 2327741 2580210 2685855 3223026 3354273 3581140 3726970 4472364 4655482 5160420 5371710 5590455 6446052 6708546 6983223 7453940 8057565 9310964 10743420 11180910 11638705 13417092 13966446 16115130 16771365 20949669 22361820 23277410 27932892 32230260 33542730 34916115 41899338 46554820 67085460 69832230 83798676 104748345 139664460 209496690 418993380 5133385133 10266770266 15400155399 20533540532 25666925665 30800310798 46200466197 51333851330 61600621596 66734006729 77000776995 92400932394 102667702660 133468013458 154001553990 184801864788 200202020187 231002330985 266936026916 308003107980 333670033645 400404040374 462004661970 600606060561 667340067290 800808080748 924009323940 1001010100935 1201212121122 1334680134580 2002020201870 2402424242244 3003030302805 4004040403740 6006060605610 12012121211220