Search a number
-
+
12230122003120 = 24571711291137889
BaseRepresentation
bin1011000111111000110000…
…0100111101101010110000
31121022012002020020002111001
42301332030010331222300
53100334242213044440
642002235051131344
72401411552531420
oct261761404755260
947265066202431
1012230122003120
11399584703985a
121456343143b54
136a93ac44c738
14303d263c6480
15163200a6cb9a
hexb1f8c13dab0

12230122003120 has 160 divisors (see below), whose sum is σ = 34439287708800. Its totient is φ = 3943027703808.

The previous prime is 12230122002983. The next prime is 12230122003129. The reversal of 12230122003120 is 2130022103221.

12230122003120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122301220031202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12230122003129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10179136 + ... + 11317024.

It is an arithmetic number, because the mean of its divisors is an integer number (215245548180).

Almost surely, 212230122003120 is an apocalyptic number.

12230122003120 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 12230122003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219643854400).

12230122003120 is an abundant number, since it is smaller than the sum of its proper divisors (22209165705680).

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

12230122003120 is a wasteful number, since it uses less digits than its factorization.

12230122003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139055 (or 1139049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12230122003120 its reverse (2130022103221), we get a palindrome (14360144106341).

The spelling of 12230122003120 in words is "twelve trillion, two hundred thirty billion, one hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1129 1190 1360 1904 2258 2380 4516 4760 5645 7903 9032 9520 11290 15806 18064 19193 22580 31612 38386 39515 45160 63224 76772 79030 90320 95965 126448 134351 153544 158060 191930 268702 307088 316120 383860 537404 632240 671755 767720 1074808 1137889 1343510 1535440 2149616 2275778 2687020 4551556 5374040 5689445 7965223 9103112 10748080 11378890 15930446 18206224 19344113 22757780 31860892 38688226 39826115 45515560 63721784 77376452 79652230 91031120 96720565 127443568 135408791 154752904 159304460 193441130 270817582 309505808 318608920 386882260 541635164 637217840 677043955 773764520 1083270328 1284676681 1354087910 1547529040 2166540656 2569353362 2708175820 5138706724 5416351640 6423383405 8992736767 10277413448 10832703280 12846766810 17985473534 20554826896 21839503577 25693533620 35970947068 43679007154 44963683835 51387067240 71941894136 87358014308 89927367670 102774134480 109197517885 143883788272 152876525039 174716028616 179854735340 218395035770 305753050078 349432057232 359709470680 436790071540 611506100156 719418941360 764382625195 873580143080 1223012200312 1528765250390 1747160286160 2446024400624 3057530500780 6115061001560 12230122003120