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22221221210120 = 23561587117113249
BaseRepresentation
bin1010000110101110001111…
…11111110010100000001000
32220200022212010001012201102
411003113013333302200020
510403033030112210440
6115132142121240532
74452300401545142
oct503270777624010
986608763035642
1022221221210120
117097a700812a9
1225aa756033148
13c525b555152a
1456b727365c92
1528805937db15
hex1435c7ff2808

22221221210120 has 128 divisors (see below), whose sum is σ = 50951270160000. Its totient is φ = 8719770009600.

The previous prime is 22221221210081. The next prime is 22221221210137. The reversal of 22221221210120 is 2101212212222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22221221210092 and 22221221210101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1677193256 + ... + 1677206504.

It is an arithmetic number, because the mean of its divisors is an integer number (398056798125).

Almost surely, 222221221210120 is an apocalyptic number.

22221221210120 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 22221221210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25475635080000).

22221221210120 is an abundant number, since it is smaller than the sum of its proper divisors (28730048949880).

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

22221221210120 is a wasteful number, since it uses less digits than its factorization.

22221221210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15079 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22221221210120 its reverse (2101212212222), we get a palindrome (24322433422342).

The spelling of 22221221210120 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 587 610 1171 1174 1220 2342 2348 2440 2935 4684 4696 5855 5870 9368 11710 11740 13249 23420 23480 26498 35807 46840 52996 66245 71431 71614 105992 132490 142862 143228 179035 264980 285724 286456 357155 358070 529960 571448 687377 714310 716140 808189 1374754 1428620 1432280 1616378 2749508 2857240 3232756 3436885 4040945 5499016 6465512 6873770 7777163 8081890 13747540 15514579 15554326 16163780 27495080 31029158 31108652 32327560 38885815 41929997 62058316 62217304 77572895 77771630 83859994 124116632 155145790 155543260 167719988 209649985 310291580 311086520 335439976 419299970 474406943 620583160 838599940 946389319 948813886 1677199880 1892778638 1897627772 2372034715 3785557276 3795255544 4731946595 4744069430 7571114552 9107057873 9463893190 9488138860 18214115746 18927786380 18976277720 36428231492 37855572760 45535289365 72856462984 91070578730 182141157460 364282314920 555530530253 1111061060506 2222122121012 2777652651265 4444244242024 5555305302530 11110610605060 22221221210120