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12003112212201 = 351121006940543
BaseRepresentation
bin1010111010101011000100…
…1111010101011011101001
31120111111010112020212100000
42232222301033111123221
53033124333211242301
641310053103333213
72346124211252325
oct256526117253351
946444115225300
1012003112212201
113908544a17a00
12141a349bb1209
13690b72402376
142d6d4d074985
1515c36627c786
hexaeab13d56e9

12003112212201 has 72 divisors (see below), whose sum is σ = 19765558408960. Its totient is φ = 7273711573920.

The previous prime is 12003112212197. The next prime is 12003112212241. The reversal of 12003112212201 is 10221221130021.

12003112212201 is a `hidden beast` number, since 120 + 0 + 311 + 2 + 212 + 20 + 1 = 666.

It is not a de Polignac number, because 12003112212201 - 22 = 12003112212197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12003112212241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 296038536 + ... + 296079078.

Almost surely, 212003112212201 is an apocalyptic number.

12003112212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12003112212201 is a deficient number, since it is larger than the sum of its proper divisors (7762446196759).

12003112212201 is a wasteful number, since it uses less digits than its factorization.

12003112212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50649 (or 50626 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12003112212201 its reverse (10221221130021), we get a palindrome (22224333342222).

The spelling of 12003112212201 in words is "twelve trillion, three billion, one hundred twelve million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 2673 3267 9801 10069 29403 30207 40543 90621 110759 121629 271863 332277 364887 445973 815589 996831 1094661 1218349 1337919 2446767 2990493 3283983 3655047 4013757 4905703 8971479 9851949 10965141 12041271 14717109 26914437 32895423 36123813 44151327 98686269 108371439 132453981 296058807 397361943 408227467 1192085829 1224682401 3674047203 4490502137 11022141609 13471506411 33066424827 40414519233 49395523507 99199274481 121243557699 148186570521 363730673097 444559711563 1091192019291 1333679134689 4001037404067 12003112212201