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12122222220 = 223252322712899
BaseRepresentation
bin10110100101000101…
…00110111010001100
31011021211002200201100
423102202212322030
5144311242102340
65322513143100
7606254121513
oct132242467214
934254080640
1012122222220
115160750a79
12242385aa90
1311b2589074
1482dd5567a
154ae364830
hex2d28a6e8c

12122222220 has 144 divisors (see below), whose sum is σ = 38541484800. Its totient is φ = 3078185088.

The previous prime is 12122222213. The next prime is 12122222221. The reversal of 12122222220 is 2222222121.

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 = 12122222193 and 12122222202.

It is not an unprimeable number, because it can be changed into a prime (12122222221) 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, 933331 + ... + 946229.

It is an arithmetic number, because the mean of its divisors is an integer number (267649200).

Almost surely, 212122222220 is an apocalyptic number.

12122222220 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 12122222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270742400).

12122222220 is an abundant number, since it is smaller than the sum of its proper divisors (26419262580).

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

12122222220 is a wasteful number, since it uses less digits than its factorization.

12122222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13164 (or 13159 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12122222220 its reverse (2222222121), we get a palindrome (14344444341).

Subtracting from 12122222220 its reverse (2222222121), we obtain a palindrome (9900000099).

The spelling of 12122222220 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 227 230 276 345 414 454 460 681 690 828 908 1035 1135 1362 1380 2043 2070 2270 2724 3405 4086 4140 4540 5221 6810 8172 10215 10442 12899 13620 15663 20430 20884 25798 26105 31326 38697 40860 46989 51596 52210 62652 64495 77394 78315 93978 104420 116091 128990 154788 156630 187956 193485 232182 234945 257980 296677 313260 386970 464364 469890 580455 593354 773940 890031 939780 1160910 1186708 1483385 1780062 2321820 2670093 2928073 2966770 3560124 4450155 5340186 5856146 5933540 8784219 8900310 10680372 11712292 13350465 14640365 17568438 17800620 26352657 26700930 29280730 35136876 43921095 52705314 53401860 58561460 67345679 87842190 105410628 131763285 134691358 175684380 202037037 263526570 269382716 336728395 404074074 527053140 606111111 673456790 808148148 1010185185 1212222222 1346913580 2020370370 2424444444 3030555555 4040740740 6061111110 12122222220