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12020222112201 = 3317337607128021
BaseRepresentation
bin1010111011101010110100…
…0100011011000111001001
31120120010021221112211201000
42232322231010123013021
53033414403330042301
641322002552045213
72350301211100602
oct256725504330711
946503257484630
1012020222112201
11391482501a026
121421724093809
1369266b0c4454
142d7ad35a0da9
1515ca18412786
hexaeead11b1c9

12020222112201 has 64 divisors (see below), whose sum is σ = 18942503823360. Its totient is φ = 7507273052160.

The previous prime is 12020222112163. The next prime is 12020222112209. The reversal of 12020222112201 is 10221122202021.

It is a happy number.

12020222112201 is a `hidden beast` number, since 1 + 20 + 202 + 221 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 12020222112201 - 215 = 12020222079433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12020222112209) by changing a digit.

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, 93828571 + ... + 93956591.

It is an arithmetic number, because the mean of its divisors is an integer number (295976622240).

Almost surely, 212020222112201 is an apocalyptic number.

It is an amenable number.

12020222112201 is a deficient number, since it is larger than the sum of its proper divisors (6922281711159).

12020222112201 is a wasteful number, since it uses less digits than its factorization.

12020222112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128991 (or 128985 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12020222112201 its reverse (10221122202021), we get a palindrome (22241344314222).

The spelling of 12020222112201 in words is "twelve trillion, twenty billion, two hundred twenty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 17 27 51 153 337 459 607 1011 1821 3033 5463 5729 9099 10319 16389 17187 30957 51561 92871 128021 154683 204559 278613 384063 613677 1152189 1841031 2176357 3456567 3477503 5523093 6529071 10432509 19587213 31297527 43143077 58761639 77708747 93892581 129429231 233126241 388287693 699378723 733432309 1164863079 1321048699 2098136169 2200296927 3963146097 6600890781 11889438291 19802672343 26187847739 35668314873 78563543217 235690629651 445193411563 707071888953 1335580234689 4006740704067 12020222112201