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12201110122221 = 3229313799740879
BaseRepresentation
bin1011000110001100101011…
…0101011010111011101101
31121012102012100020211200200
42301203022311122323231
53044400333142402341
641541040153544113
72366333611601316
oct261431265327355
947172170224620
1012201110122221
113984509644289
1214507a7115039
136a67379c4ac7
143027732b560d
151625a3a79db6
hexb18cad5aeed

12201110122221 has 96 divisors (see below), whose sum is σ = 19348157337600. Its totient is φ = 7387236702720.

The previous prime is 12201110122207. The next prime is 12201110122249. The reversal of 12201110122221 is 12222101110221.

12201110122221 is a `hidden beast` number, since 12 + 201 + 110 + 122 + 221 = 666.

It is not a de Polignac number, because 12201110122221 - 210 = 12201110121197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201110122194 and 12201110122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201110122021) 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, 298448460 + ... + 298489338.

It is an arithmetic number, because the mean of its divisors is an integer number (201543305600).

Almost surely, 212201110122221 is an apocalyptic number.

It is an amenable number.

12201110122221 is a deficient number, since it is larger than the sum of its proper divisors (7147047215379).

12201110122221 is a wasteful number, since it uses less digits than its factorization.

12201110122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41979 (or 41976 counting only the distinct ones).

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

Adding to 12201110122221 its reverse (12222101110221), we get a palindrome (24423211232442).

The spelling of 12201110122221 in words is "twelve trillion, two hundred one billion, one hundred ten million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 29 31 37 87 93 111 261 279 333 899 997 1073 1147 2697 2991 3219 3441 8091 8973 9657 10323 28913 30907 33263 36889 40879 86739 92721 99789 110667 122637 260217 278163 299367 332001 367911 896303 1069781 1143559 1185491 1267249 1512523 2688909 3209343 3430677 3556473 3801747 4537569 8066727 9628029 10292031 10669419 11405241 13612707 33163211 36750221 40756363 43863167 46888213 99489633 110250663 122269089 131589501 140664639 298468899 330751989 366807267 394768503 421993917 1181934527 1263447253 1359758177 1507985431 3545803581 3790341759 4079274531 4523956293 10637410743 11371025277 12237823593 13571868879 36639970337 43731577499 46747548361 109919911011 131194732497 140242645083 329759733033 393584197491 420727935249 1355678902469 4067036707407 12201110122221