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12220323133041 = 3319591672838543
BaseRepresentation
bin1011000111010100010000…
…0001001111011001110001
31121021020210022220220202000
42301311010001033121301
53100204210210224131
641553534451244213
72400613666521162
oct261650401173161
947236708826660
1012220323133041
113991678909721
1214544695a9669
136a84aa32396a
14303676c5b769
15162d2a68dce6
hexb1d4404f671

12220323133041 has 128 divisors (see below), whose sum is σ = 19567263744000. Its totient is φ = 7514321410368.

The previous prime is 12220323133033. The next prime is 12220323133043. The reversal of 12220323133041 is 14033132302221.

12220323133041 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 0 + 323 + 1 + 330 + 4 + 1 = 666.

It is not a de Polignac number, because 12220323133041 - 23 = 12220323133033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12220323132996 and 12220323133014.

It is not an unprimeable number, because it can be changed into a prime (12220323133043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1430444416 + ... + 1430452958.

It is an arithmetic number, because the mean of its divisors is an integer number (152869248000).

Almost surely, 212220323133041 is an apocalyptic number.

It is an amenable number.

12220323133041 is a deficient number, since it is larger than the sum of its proper divisors (7346940610959).

12220323133041 is a wasteful number, since it uses less digits than its factorization.

12220323133041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12220323133041 its reverse (14033132302221), we get a palindrome (26253455435262).

The spelling of 12220323133041 in words is "twelve trillion, two hundred twenty billion, three hundred twenty-three million, one hundred thirty-three thousand, forty-one".

Divisors: 1 3 9 19 27 57 59 167 171 177 283 501 513 531 849 1121 1503 1593 2547 3173 3363 4509 5377 7641 8543 9519 9853 10089 16131 16697 25629 28557 29559 30267 47261 48393 50091 76887 85671 88677 141783 145179 150273 162317 187207 230661 266031 317243 425349 450819 486951 504037 561621 897959 951729 1276047 1426681 1460853 1512111 1684863 2417669 2693877 2788399 2855187 4280043 4382559 4536333 5054589 7253007 8081631 8365197 8565561 9576703 12840129 13608999 21759021 24244893 25095591 27106939 28730109 38520387 45935711 52979581 65277063 75286773 81320817 84174179 86190327 137807133 142642471 158938743 243962451 252522537 258570981 403750723 413421399 427927413 476816229 731887353 757567611 1211252169 1240264197 1283782239 1430448687 1599309401 2272702833 2710206949 3633756507 3851346717 4797928203 7671263737 8130620847 10901269521 14393784609 23013791211 23821292657 24391862541 43181353827 69041373633 71463877971 73175587623 207124120899 214391633913 452604560483 643174901739 1357813681449 4073441044347 12220323133041