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12201301213101 = 32711132331158099
BaseRepresentation
bin1011000110001101011000…
…1110010111111110101101
31121012102200122211021002200
42301203112032113332231
53044401231102304401
641541111141412113
72366341422051510
oct261432616277655
947172618737080
1012201301213101
1139845a74a1730
12145083b10a039
136a676847cc30
14302790818d77
151625b5724686
hexb18d6397fad

12201301213101 has 96 divisors (see below), whose sum is σ = 23664552038400. Its totient is φ = 5850422121600.

The previous prime is 12201301213027. The next prime is 12201301213109. The reversal of 12201301213101 is 10131210310221.

12201301213101 is a `hidden beast` number, since 1 + 2 + 201 + 30 + 121 + 310 + 1 = 666.

It is not a de Polignac number, because 12201301213101 - 217 = 12201301082029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201301213109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209979750 + ... + 210037848.

It is an arithmetic number, because the mean of its divisors is an integer number (246505750400).

Almost surely, 212201301213101 is an apocalyptic number.

12201301213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201301213101 is a deficient number, since it is larger than the sum of its proper divisors (11463250825299).

12201301213101 is a wasteful number, since it uses less digits than its factorization.

12201301213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81447 (or 81444 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12201301213101 its reverse (10131210310221), we get a palindrome (22332511523322).

The spelling of 12201301213101 in words is "twelve trillion, two hundred one billion, three hundred one million, two hundred thirteen thousand, one hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 23311 58099 69933 163177 174297 209799 256421 303043 406693 489531 522891 639089 755287 769263 909129 1220079 1468593 1794947 1917267 2121301 2265861 2307789 2727387 3333473 3660237 4473623 5287009 5384841 5751801 6363903 6797583 8308157 10000419 13420869 15861027 16154523 19091709 23334311 24924471 30001257 40262607 47583081 58157099 70002933 74773413 174471297 210008799 523413891 1354345789 4063037367 9480420523 12189112101 14897803679 17606495257 28441261569 44693411037 52819485771 85323784707 104284625753 123245466799 134080233111 158458457313 193671447827 312853877259 369736400397 581014343481 938561631777 1109209201191 1355700134789 1743043030443 4067100404367 12201301213101