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212201212201220 = 225116735940101067
BaseRepresentation
bin110000001111111011110001…
…110111111100100100000100
31000211100020102022222001022202
4300033323301313330210010
5210303201040310414340
62031151520251214032
762461013566660424
oct6017736167744404
91024306368861282
10212201212201220
1161683035239040
121b972024747318
139153647174858
143a588446ac484
15197ec91a7ec15
hexc0fef1dfc904

212201212201220 has 96 divisors (see below), whose sum is σ = 494763768898560. Its totient is φ = 75800638995840.

The previous prime is 212201212201219. The next prime is 212201212201241. The reversal of 212201212201220 is 22102212102212.

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 = 212201212201192 and 212201212201201.

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, 14758874 + ... + 25342193.

It is an arithmetic number, because the mean of its divisors is an integer number (5153789259360).

Almost surely, 2212201212201220 is an apocalyptic number.

212201212201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201212201220 is an abundant number, since it is smaller than the sum of its proper divisors (282562556697340).

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

212201212201220 is a wasteful number, since it uses less digits than its factorization.

212201212201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40101513 (or 40101511 counting only the distinct ones).

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

Adding to 212201212201220 its reverse (22102212102212), we get a palindrome (234303424303432).

The spelling of 212201212201220 in words is "two hundred twelve trillion, two hundred one billion, two hundred twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 359 670 718 737 1340 1436 1474 1795 2948 3590 3685 3949 7180 7370 7898 14740 15796 19745 24053 39490 48106 78980 96212 120265 240530 264583 481060 529166 1058332 1322915 2645830 5291660 40101067 80202134 160404268 200505335 401010670 441111737 802021340 882223474 1764446948 2205558685 2686771489 4411117370 5373542978 8822234740 10747085956 13433857445 14396283053 26867714890 28792566106 29554486379 53735429780 57585132212 59108972758 71981415265 118217945516 143962830530 147772431895 158359113583 287925661060 295544863790 316718227166 591089727580 633436454332 791795567915 964550964551 1583591135830 1929101929102 3167182271660 3858203858204 4822754822755 9645509645510 10610060610061 19291019291020 21220121220122 42440242440244 53050303050305 106100606100610 212201212201220