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12200320200320 = 27576474209097
BaseRepresentation
bin1011000110001001101111…
…0000000110111010000000
31121012100011021212122112222
42301202123300012322000
53044342223432402240
641540425535110212
72366305210431110
oct261423360067200
947170137778488
1012200320200320
11398414376726a
121450606672368
136a66401601b5
143026da411040
15162559543eb5
hexb189bc06e80

12200320200320 has 128 divisors (see below), whose sum is σ = 33384544968960. Its totient is φ = 4176500760576.

The previous prime is 12200320200317. The next prime is 12200320200353. The reversal of 12200320200320 is 2300202300221.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794012 + ... + 5003108.

It is an arithmetic number, because the mean of its divisors is an integer number (260816757570).

Almost surely, 212200320200320 is an apocalyptic number.

12200320200320 is a gapful number since it is divisible by the number (10) 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 12200320200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692272484480).

12200320200320 is an abundant number, since it is smaller than the sum of its proper divisors (21184224768640).

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

12200320200320 is an equidigital number, since it uses as much as digits as its factorization.

12200320200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209770 (or 4209758 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12200320200320 its reverse (2300202300221), we get a palindrome (14500522500541).

The spelling of 12200320200320 in words is "twelve trillion, two hundred billion, three hundred twenty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 647 896 1120 1294 2240 2588 3235 4480 4529 5176 6470 9058 10352 12940 18116 20704 22645 25880 36232 41408 45290 51760 72464 82816 90580 103520 144928 181160 207040 289856 362320 414080 579712 724640 1449280 2898560 4209097 8418194 16836388 21045485 29463679 33672776 42090970 58927358 67345552 84181940 117854716 134691104 147318395 168363880 235709432 269382208 294636790 336727760 471418864 538764416 589273580 673455520 942837728 1178547160 1346911040 1885675456 2357094320 2693822080 2723285759 3771350912 4714188640 5446571518 9428377280 10893143036 13616428795 18856754560 19063000313 21786286072 27232857590 38126000626 43572572144 54465715180 76252001252 87145144288 95315001565 108931430360 152504002504 174290288576 190630003130 217862860720 305008005008 348580577152 381260006260 435725721440 610016010016 762520012520 871451442880 1220032020032 1525040025040 1742902885760 2440064040064 3050080050080 6100160100160 12200320200320