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12200021022222 = 23211181670950741
BaseRepresentation
bin1011000110001000100111…
…1010110101011000001110
31121012022101102220211100200
42301202021322311120032
53044341120340202342
641540340130434330
72366264615443545
oct261421172653016
947168342824320
1012200021022222
113983aaa8a4340
1214505424329a6
136a65c318c537
143026ac7b315c
1516253d14894c
hexb1889eb560e

12200021022222 has 96 divisors (see below), whose sum is σ = 29000623972320. Its totient is φ = 3675930336000.

The previous prime is 12200021022197. The next prime is 12200021022281. The reversal of 12200021022222 is 22222012000221.

12200021022222 is a `hidden beast` number, since 12 + 200 + 0 + 210 + 22 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200021022195 and 12200021022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240411772 + ... + 240462512.

It is an arithmetic number, because the mean of its divisors is an integer number (302089833045).

Almost surely, 212200021022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200021022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500311986160).

12200021022222 is an abundant number, since it is smaller than the sum of its proper divisors (16800602950098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12200021022222 is a wasteful number, since it uses less digits than its factorization.

12200021022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57650 (or 57647 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12200021022222 its reverse (22222012000221), we get a palindrome (34422033022443).

The spelling of 12200021022222 in words is "twelve trillion, two hundred billion, twenty-one million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3982 5973 6709 11946 13418 17919 20127 35838 40254 50741 60381 73799 101482 120762 147598 152223 221397 304446 442794 456669 558151 664191 913338 1116302 1214329 1328382 1674453 2428658 3348906 3642987 5023359 7285974 9184121 10046718 10928961 13357619 18368242 21857922 26715238 27552363 40072857 55104726 80145714 82657089 101025331 120218571 165314178 202050662 240437142 303075993 340421369 606151986 680842738 909227979 1021264107 1818455958 2042528214 3063792321 3744635059 6127584642 7489270118 11233905177 22467810354 33701715531 61616267789 67403431062 123232535578 184848803367 369697606734 554546410101 677778945679 1109092820202 1355557891358 2033336837037 4066673674074 6100010511111 12200021022222