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12201222112220 = 2253175719473559
BaseRepresentation
bin1011000110001101000110…
…0000101000001111011100
31121012102111010222112002102
42301203101200220033130
53044401100330042340
641541055234144232
72366336441521631
oct261432140501734
947172433875072
1012201222112220
113984566884aa9
121450818722078
136a6754c75b8b
14302784108188
151625ad7ec215
hexb18d18283dc

12201222112220 has 96 divisors (see below), whose sum is σ = 25782841244160. Its totient is φ = 4850081153280.

The previous prime is 12201222112199. The next prime is 12201222112223. The reversal of 12201222112220 is 2221122210221.

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 = 12201222112192 and 12201222112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201222112223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3428270801 + ... + 3428274359.

It is an arithmetic number, because the mean of its divisors is an integer number (268571262960).

Almost surely, 212201222112220 is an apocalyptic number.

12201222112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201222112220 is an abundant number, since it is smaller than the sum of its proper divisors (13581619131940).

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

12201222112220 is a wasteful number, since it uses less digits than its factorization.

12201222112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5401 counting only the distinct ones).

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

Adding to 12201222112220 its reverse (2221122210221), we get a palindrome (14422344322441).

The spelling of 12201222112220 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 317 571 634 947 1142 1268 1585 1894 2284 2855 3170 3559 3788 4735 5710 6340 7118 9470 11420 14236 17795 18940 35590 71180 181007 300199 362014 540737 600398 724028 905035 1081474 1128203 1200796 1500995 1810070 2032189 2162948 2256406 2703685 3001990 3370373 3620140 4064378 4512812 5407370 5641015 6003980 6740746 8128756 10160945 10814740 11282030 13481492 16851865 20321890 22564060 33703730 40643780 67407460 171413629 342827258 644203913 685654516 857068145 1068408241 1288407826 1714136290 1924482983 2136816482 2576815652 3221019565 3428272580 3848965966 4273632964 5342041205 6442039130 7697931932 9622414915 10684082410 12884078260 19244829830 21368164820 38489659660 610061105611 1220122211222 2440244422444 3050305528055 6100611056110 12201222112220