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12200201222010 = 2351997743296983
BaseRepresentation
bin1011000110001001010010…
…1010001111011101111010
31121012022211222222220222220
42301202110222033131322
53044342003003101020
641540410045024510
72366302234223424
oct261422452173572
947168758886886
1012200201222010
11398409259308a
121450592855136
136a6621603329
143026c86bd814
1516254dd91240
hexb1894a8f77a

12200201222010 has 128 divisors (see below), whose sum is σ = 31181324267520. Its totient is φ = 3046265542656.

The previous prime is 12200201221973. The next prime is 12200201222047. The reversal of 12200201222010 is 1022210200221.

It is an interprime number because it is at equal distance from previous prime (12200201221973) and next prime (12200201222047).

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

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 63 ways as a sum of consecutive naturals, for example, 40931979 + ... + 41228961.

It is an arithmetic number, because the mean of its divisors is an integer number (243604095840).

Almost surely, 212200201222010 is an apocalyptic number.

12200201222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200201222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590662133760).

12200201222010 is an abundant number, since it is smaller than the sum of its proper divisors (18981123045510).

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

12200201222010 is a wasteful number, since it uses less digits than its factorization.

12200201222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297852.

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

Adding to 12200201222010 its reverse (1022210200221), we get a palindrome (13222411422231).

The spelling of 12200201222010 in words is "twelve trillion, two hundred billion, two hundred one million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 97 114 190 194 285 291 485 570 582 743 970 1455 1486 1843 2229 2910 3686 3715 4458 5529 7430 9215 11058 11145 14117 18430 22290 27645 28234 42351 55290 70585 72071 84702 141170 144142 211755 216213 296983 360355 423510 432426 593966 720710 890949 1081065 1369349 1484915 1781898 2162130 2738698 2969830 4108047 4454745 5642677 6846745 8216094 8909490 11285354 13693490 16928031 20540235 28213385 28807351 33856062 41080470 56426770 57614702 84640155 86422053 144036755 169280310 172844106 220658369 288073510 432110265 441316738 547339669 661975107 864220530 1094679338 1103291845 1323950214 1642019007 2206583690 2736698345 3284038014 3309875535 4192509011 5473396690 6619751070 8210095035 8385018022 12577527033 16420190070 20962545055 21403861793 25155054066 41925090110 42807723586 62887635165 64211585379 107019308965 125775270330 128423170758 214038617930 321057926895 406673374067 642115853790 813346748134 1220020122201 2033366870335 2440040244402 4066733740670 6100100611005 12200201222010