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22020212121200 = 2452534572272843
BaseRepresentation
bin1010000000110111110101…
…11010111101111001110000
32212222010000102222111110022
411000123322322331321300
510341234343300334300
6114455540143023012
74431623245514006
oct500337272757160
985863012874408
1022020212121200
11701a7a0749717
1225777b859aa68
13c39660162227
14561ad924ca76
15282be2530285
hex1406faebde70

22020212121200 has 120 divisors (see below), whose sum is σ = 54019710673488. Its totient is φ = 8622980720640.

The previous prime is 22020212121197. The next prime is 22020212121283. The reversal of 22020212121200 is 212121202022.

It is a happy number.

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, 8551979 + ... + 10824821.

Almost surely, 222020212121200 is an apocalyptic number.

22020212121200 is a gapful number since it is divisible by the number (20) 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 22020212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27009855336744).

22020212121200 is an abundant number, since it is smaller than the sum of its proper divisors (31999498552288).

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

22020212121200 is a wasteful number, since it uses less digits than its factorization.

22020212121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273371 (or 2273360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22020212121200 its reverse (212121202022), we get a palindrome (22232333323222).

The spelling of 22020212121200 in words is "twenty-two trillion, twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 457 530 848 914 1060 1325 1828 2120 2285 2650 3656 4240 4570 5300 7312 9140 10600 11425 18280 21200 22850 24221 36560 45700 48442 91400 96884 121105 182800 193768 242210 387536 484420 605525 968840 1211050 1937680 2272843 2422100 4545686 4844200 9091372 9688400 11364215 18182744 22728430 36365488 45456860 56821075 90913720 113642150 120460679 181827440 227284300 240921358 454568600 481842716 602303395 909137200 963685432 1038689251 1204606790 1927370864 2077378502 2409213580 3011516975 4154757004 4818427160 5193446255 6023033950 8309514008 9636854320 10386892510 12046067900 16619028016 20773785020 24092135800 25967231275 41547570040 48184271600 51934462550 55050530303 83095140080 103868925100 110101060606 207737850200 220202121212 275252651515 415475700400 440404242424 550505303030 880808484848 1101010606060 1376263257575 2202021212120 2752526515150 4404042424240 5505053030300 11010106060600 22020212121200