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12021112122201 = 32713101302348073
BaseRepresentation
bin1010111011101110001000…
…0111100010101101011001
31120120012120222021000220100
42232323202013202231121
53033423214200402301
641322231144050013
72350332236051130
oct256734207425531
946505528230810
1012021112122201
113915141448786
121421932163909
136927806009a0
142d7b7987a917
1515ca6b619286
hexaeee21e2b59

12021112122201 has 96 divisors (see below), whose sum is σ = 21590047245312. Its totient is φ = 6275818828800.

The previous prime is 12021112122139. The next prime is 12021112122241. The reversal of 12021112122201 is 10222121112021.

12021112122201 is a `hidden beast` number, since 1 + 20 + 211 + 1 + 212 + 220 + 1 = 666.

It is not a de Polignac number, because 12021112122201 - 237 = 11883673168729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12021112122241) 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, 250035501 + ... + 250083573.

It is an arithmetic number, because the mean of its divisors is an integer number (224896325472).

Almost surely, 212021112122201 is an apocalyptic number.

It is an amenable number.

12021112122201 is a deficient number, since it is larger than the sum of its proper divisors (9568935123111).

12021112122201 is a wasteful number, since it uses less digits than its factorization.

12021112122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51223 (or 51220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12021112122201 its reverse (10222121112021), we get a palindrome (22243233234222).

The spelling of 12021112122201 in words is "twelve trillion, twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 13 21 39 63 91 101 117 273 303 707 819 909 1313 2121 3023 3939 6363 9069 9191 11817 21161 27207 27573 39299 48073 63483 82719 117897 144219 190449 275093 305323 336511 353691 432657 624949 825279 915969 1009533 1874847 2137261 2475837 2747907 3028599 3969199 4374643 4855373 5624541 6411783 11907597 13123929 14566119 19235349 27784393 33987611 35722791 39371787 43698357 63119849 83353179 101962833 145324679 189359547 250059537 305888499 435974037 441838943 568078641 1017272753 1307922111 1325516829 1889220827 3051818259 3976550487 5667662481 9155454777 13224545789 14677792579 17002987443 39673637367 44033377737 102744548053 119020912101 132100133211 190811303527 308233644159 572433910581 924700932477 1335679124689 1717301731743 4007037374067 12021112122201