Search a number
-
+
12201020012220 = 22351324176471797
BaseRepresentation
bin1011000110001100010101…
…1101101011011010111100
31121012101222001200210000020
42301203011131223122330
53044400142110342340
641541023214332140
72366331435640044
oct261430535533274
947171861623006
1012201020012220
113984472798306
121450780aba050
136a6722134a90
1430276533a724
1516259abca9d0
hexb18c576b6bc

12201020012220 has 96 divisors (see below), whose sum is σ = 36805995390528. Its totient is φ = 3002084954112.

The previous prime is 12201020012179. The next prime is 12201020012257. The reversal of 12201020012220 is 2221002010221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201020012220.

It is a congruent number.

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, 1350639 + ... + 5121158.

It is an arithmetic number, because the mean of its divisors is an integer number (383395785318).

Almost surely, 212201020012220 is an apocalyptic number.

12201020012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201020012220 is an abundant number, since it is smaller than the sum of its proper divisors (24604975378308).

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

12201020012220 is a wasteful number, since it uses less digits than its factorization.

12201020012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474239 (or 6474237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12201020012220 its reverse (2221002010221), we get a palindrome (14422022022441).

The spelling of 12201020012220 in words is "twelve trillion, two hundred one billion, twenty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2417 4834 7251 9668 12085 14502 24170 29004 31421 36255 48340 62842 72510 94263 125684 145020 157105 188526 314210 377052 471315 628420 942630 1885260 6471797 12943594 19415391 25887188 32358985 38830782 64717970 77661564 84133361 97076955 129435940 168266722 194153910 252400083 336533444 388307820 420666805 504800166 841333610 1009600332 1262000415 1682667220 2524000830 5048001660 15642333349 31284666698 46927000047 62569333396 78211666745 93854000094 156423333490 187708000188 203350333537 234635000235 312846666980 406700667074 469270000470 610051000611 813401334148 938540000940 1016751667685 1220102001222 2033503335370 2440204002444 3050255003055 4067006670740 6100510006110 12201020012220