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12200012001210 = 23511471973992843
BaseRepresentation
bin1011000110001000100101…
…1000011010111110111010
31121012022100210221111212010
42301202021120122332322
53044341111033014320
641540335205230350
72366264445662325
oct261421130327672
947168323844763
1012200012001210
113983aa57a2760
12145053b4023b6
136a65c1351467
143026ab5057bc
1516253c465ae0
hexb188961afba

12200012001210 has 128 divisors (see below), whose sum is σ = 32787062820864. Its totient is φ = 2879957077760.

The previous prime is 12200012001167. The next prime is 12200012001227. The reversal of 12200012001210 is 1210021000221.

12200012001210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1059049 + ... + 5051891.

It is an arithmetic number, because the mean of its divisors is an integer number (256148928288).

Almost surely, 212200012001210 is an apocalyptic number.

12200012001210 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 12200012001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393531410432).

12200012001210 is an abundant number, since it is smaller than the sum of its proper divisors (20587050819654).

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

12200012001210 is a wasteful number, since it uses less digits than its factorization.

12200012001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993108.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200012001210 its reverse (1210021000221), we get a palindrome (13410033001431).

The spelling of 12200012001210 in words is "twelve trillion, two hundred billion, twelve million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 197 235 282 330 394 470 517 591 705 985 1034 1182 1410 1551 1970 2167 2585 2955 3102 4334 5170 5910 6501 7755 9259 10835 13002 15510 18518 21670 27777 32505 46295 55554 65010 92590 101849 138885 203698 277770 305547 509245 611094 1018490 1527735 3055470 3992843 7985686 11978529 19964215 23957058 39928430 43921273 59892645 87842546 119785290 131763819 187663621 219606365 263527638 375327242 439212730 562990863 658819095 786590071 938318105 1125981726 1317638190 1573180142 1876636210 2064299831 2359770213 2814954315 3932950355 4128599662 4719540426 5629908630 6192899493 7865900710 8652490781 10321499155 11798851065 12385798986 17304981562 20642998310 23597702130 25957472343 30964497465 36969733337 43262453905 51914944686 61928994930 73939466674 86524907810 110909200011 129787361715 184848666685 221818400022 259574723430 369697333370 406667066707 554546000055 813334133414 1109092000110 1220001200121 2033335333535 2440002400242 4066670667070 6100006000605 12200012001210