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12202121212101 = 331814795212637
BaseRepresentation
bin1011000110010000011100…
…0110011011000011000101
31121012111210210210112021000
42301210013012123003011
53044404421012241401
641541324353043513
72366400636661242
oct261440706330305
947174723715230
1012202121212101
113984988352057
121450a29856599
136a6869315942
1430282b6ac5c9
151626126ec186
hexb190719b0c5

12202121212101 has 32 divisors (see below), whose sum is σ = 18215042227200. Its totient is φ = 8072913625920.

The previous prime is 12202121212033. The next prime is 12202121212139. The reversal of 12202121212101 is 10121212120221.

12202121212101 is a `hidden beast` number, since 1 + 220 + 21 + 212 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 12202121212101 - 241 = 10003097956549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202121212301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 265446 + ... + 4947191.

It is an arithmetic number, because the mean of its divisors is an integer number (569220069600).

Almost surely, 212202121212101 is an apocalyptic number.

It is an amenable number.

12202121212101 is a deficient number, since it is larger than the sum of its proper divisors (6012921015099).

12202121212101 is a wasteful number, since it uses less digits than its factorization.

12202121212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213306 (or 5213300 counting only the distinct ones).

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

Adding to 12202121212101 its reverse (10121212120221), we get a palindrome (22323333332322).

The spelling of 12202121212101 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 27 181 479 543 1437 1629 4311 4887 12933 86699 260097 780291 2340873 5212637 15637911 46913733 140741199 943487297 2496853123 2830461891 7490559369 8491385673 22471678107 25474157019 67415034321 451930415263 1355791245789 4067373737367 12202121212101