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12211021222101 = 3413191637372839
BaseRepresentation
bin1011000110110001100110…
…0101010001000011010101
31121020100210001201212210000
42301230121211101003111
53100031132413101401
641545355443121513
72400134326551252
oct261543145210325
947210701655700
1012211021222101
113988735159319
1214526b2373299
136a7657156b50
143030336d6429
15162983c27186
hexb1b199510d5

12211021222101 has 80 divisors (see below), whose sum is σ = 20690919849600. Its totient is φ = 7114608058752.

The previous prime is 12211021222093. The next prime is 12211021222151. The reversal of 12211021222101 is 10122212011221.

12211021222101 is a `hidden beast` number, since 1 + 221 + 10 + 212 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 12211021222101 - 23 = 12211021222093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211021222151) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32565040 + ... + 32937878.

It is an arithmetic number, because the mean of its divisors is an integer number (258636498120).

Almost surely, 212211021222101 is an apocalyptic number.

It is an amenable number.

12211021222101 is a deficient number, since it is larger than the sum of its proper divisors (8479898627499).

12211021222101 is a wasteful number, since it uses less digits than its factorization.

12211021222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374520 (or 374511 counting only the distinct ones).

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

Adding to 12211021222101 its reverse (10122212011221), we get a palindrome (22333233233322).

The spelling of 12211021222101 in words is "twelve trillion, two hundred eleven billion, twenty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1053 1539 1637 2223 4911 6669 14733 20007 21281 31103 44199 63843 93309 132597 191529 279927 372839 404339 574587 839781 1118517 1213017 1723761 2519343 3355551 3639051 4846907 7083941 10066653 10917153 14540721 21251823 30199959 32751459 43622163 63755469 92091233 130866489 191266407 276273699 392599467 573799221 610337443 828821097 1831012329 2486463291 5493036987 7459389873 7934386759 11596411417 16479110961 23803160277 34789234251 49437332883 71409480831 104367702753 150753348421 214228442493 313103108259 452260045263 642685327479 939309324777 1356780135789 4070340407367 12211021222101