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12012210201200 = 24521111689233557
BaseRepresentation
bin1010111011001100111110…
…0001011010001001110000
31120112100121120201120222112
42232303033201122021300
53033302001302414300
641314155545024452
72346565524011516
oct256631741321160
946470546646875
1012012210201200
113911393556780
121420068a85128
13691992270a01
142d75734b64b6
1515c6e9d62e35
hexaeccf85a270

12012210201200 has 120 divisors (see below), whose sum is σ = 31485739106640. Its totient is φ = 4367684044800.

The previous prime is 12012210201179. The next prime is 12012210201247. The reversal of 12012210201200 is 210201221021.

12012210201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51314822 + ... + 51548378.

It is an arithmetic number, because the mean of its divisors is an integer number (262381159222).

Almost surely, 212012210201200 is an apocalyptic number.

12012210201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012210201200 is an abundant number, since it is smaller than the sum of its proper divisors (19473528905440).

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

12012210201200 is a wasteful number, since it uses less digits than its factorization.

12012210201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245275 (or 245264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12012210201200 its reverse (210201221021), we get a palindrome (12222411422221).

The spelling of 12012210201200 in words is "twelve trillion, twelve billion, two hundred ten million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 11689 23378 46756 58445 93512 116890 128579 187024 233557 233780 257158 292225 467114 467560 514316 584450 642895 934228 935120 1028632 1167785 1168900 1285790 1868456 2057264 2335570 2337800 2569127 2571580 3214475 3736912 4671140 4675600 5138254 5143160 5838925 6428950 9342280 10276508 10286320 11677850 12845635 12857900 18684560 20553016 23355700 25691270 25715800 41106032 46711400 51382540 51431600 64228175 93422800 102765080 128456350 205530160 256912700 513825400 1027650800 2730047773 5460095546 10920191092 13650238865 21840382184 27300477730 30030525503 43680764368 54600955460 60061051006 68251194325 109201910920 120122102012 136502388650 150152627515 218403821840 240244204024 273004777300 300305255030 480488408048 546009554600 600610510060 750763137575 1092019109200 1201221020120 1501526275150 2402442040240 3003052550300 6006105100600 12012210201200