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12200013221220 = 223251137166530347
BaseRepresentation
bin1011000110001000100101…
…1101000100110101100100
31121012022100220020111101200
42301202021131010311210
53044341111341034340
641540335251322500
72366264462233236
oct261421135046544
947168326214350
1012200013221220
113983aa6456330
12145053b8b0430
136a65c168a866
143026ab742256
1516253c607330
hexb1889744d64

12200013221220 has 144 divisors (see below), whose sum is σ = 41462059923648. Its totient is φ = 2877644378880.

The previous prime is 12200013221219. The next prime is 12200013221251. The reversal of 12200013221220 is 2212231000221.

12200013221220 is a `hidden beast` number, since 1 + 220 + 0 + 0 + 1 + 3 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200013221193 and 12200013221202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 83191914 + ... + 83338433.

It is an arithmetic number, because the mean of its divisors is an integer number (287930971692).

Almost surely, 212200013221220 is an apocalyptic number.

12200013221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200013221220 is an abundant number, since it is smaller than the sum of its proper divisors (29262046702428).

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

12200013221220 is a wasteful number, since it uses less digits than its factorization.

12200013221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166530410 (or 166530405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12200013221220 its reverse (2212231000221), we get a palindrome (14412244221441).

The spelling of 12200013221220 in words is "twelve trillion, two hundred billion, thirteen million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 166530347 333060694 499591041 666121388 832651735 999182082 1498773123 1665303470 1831833817 1998364164 2497955205 2997546246 3330606940 3663667634 4995910410 5495501451 5995092492 6161622839 7327335268 7493865615 9159169085 9991820820 10991002902 12323245678 14987731230 16486504353 18318338170 18484868517 21982005804 24646491356 27477507255 29975462460 30808114195 32973008706 36636676340 36969737034 54955014510 55454605551 61616228390 65946017412 67777851229 73939474068 82432521765 92424342585 109910029020 110909211102 123232456780 135555702458 164865043530 184848685170 203333553687 221818422204 271111404916 277273027755 329730087060 338889256145 369697370340 406667107374 554546055510 610000661061 677778512290 813334214748 1016667768435 1109092111020 1220001322122 1355557024580 2033335536870 2440002644244 3050003305305 4066671073740 6100006610610 12200013221220