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12221001012200 = 2352641116381967
BaseRepresentation
bin1011000111010110110001…
…1011001001001111101000
31121021022112120110202010112
42301311230123021033220
53100212102224342300
641554130024433452
72400636540431231
oct261655433111750
947238476422115
1012221001012200
11399199651a332
121454618618888
136a85878b94a6
143036dccb8088
15162d69e41e35
hexb1d6c6c93e8

12221001012200 has 96 divisors (see below), whose sum is σ = 28482971794560. Its totient is φ = 4876517990400.

The previous prime is 12221001012197. The next prime is 12221001012263. The reversal of 12221001012200 is 221010012221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149055617 + ... + 149137583.

It is an arithmetic number, because the mean of its divisors is an integer number (296697622860).

Almost surely, 212221001012200 is an apocalyptic number.

12221001012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221001012200 is an abundant number, since it is smaller than the sum of its proper divisors (16261970782360).

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

12221001012200 is a wasteful number, since it uses less digits than its factorization.

12221001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83787 (or 83778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12221001012200 its reverse (221010012221), we get a palindrome (12442011024421).

The spelling of 12221001012200 in words is "twelve trillion, two hundred twenty-one billion, one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 641 1163 1282 2326 2564 3205 4652 5128 5815 6410 9304 11630 12820 16025 23260 25640 29075 32050 46520 58150 64100 81967 116300 128200 163934 232600 327868 409835 655736 745483 819670 1490966 1639340 2049175 2981932 3278680 3727415 4098350 5963864 7454830 8196700 14909660 16393400 18637075 29819320 37274150 52540847 74548300 95327621 105081694 149096600 190655242 210163388 262704235 381310484 420326776 476638105 525408470 762620968 953276210 1050816940 1313521175 1906552420 2101633880 2383190525 2627042350 3813104840 4766381050 5254084700 9532762100 10508169400 19065524200 61105005061 122210010122 244420020244 305525025305 488840040488 611050050610 1222100101220 1527625126525 2444200202440 3055250253050 6110500506100 12221001012200