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12002211121122 = 232139130716192267
BaseRepresentation
bin1010111010100111101110…
…0001111100011111100010
31120111101210201200200202100
42232221323201330133202
53033121012021333442
641305423434031230
72346062660150535
oct256517341743742
946441721620670
1012002211121122
11390812230a932
12141a138278516
13690a5a816191
142d6ca5512a1c
1515c3120d784c
hexaea7b87c7e2

12002211121122 has 96 divisors (see below), whose sum is σ = 26239674988800. Its totient is φ = 3964714658784.

The previous prime is 12002211121091. The next prime is 12002211121123. The reversal of 12002211121122 is 22112111220021.

12002211121122 is a `hidden beast` number, since 1 + 200 + 221 + 1 + 121 + 122 = 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 = 12002211121095 and 12002211121104.

It is not an unprimeable number, because it can be changed into a prime (12002211121123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5294313433 + ... + 5294315699.

It is an arithmetic number, because the mean of its divisors is an integer number (273329947800).

Almost surely, 212002211121122 is an apocalyptic number.

12002211121122 is an abundant number, since it is smaller than the sum of its proper divisors (14237463867678).

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

12002211121122 is a wasteful number, since it uses less digits than its factorization.

12002211121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5337 counting only the distinct ones).

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

Adding to 12002211121122 its reverse (22112111220021), we get a palindrome (34114322341143).

The spelling of 12002211121122 in words is "twelve trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 139 278 417 834 1251 1307 1619 2267 2502 2614 3238 3921 4534 4857 6801 7842 9714 11763 13602 14571 20403 23526 29142 40806 181673 225041 315113 363346 450082 545019 630226 675123 945339 1090038 1350246 1635057 1890678 2025369 2116033 2836017 2962969 3270114 3670273 4050738 4232066 5672034 5925938 6348099 7340546 8888907 11010819 12696198 17777814 19044297 22021638 26666721 33032457 38088594 53333442 66064914 294128587 411852691 510167947 588257174 823705382 882385761 1020335894 1235558073 1530503841 1764771522 2471116146 2647157283 3061007682 3706674219 4591511523 4797046811 5294314566 7413348438 9183023046 9594093622 14391140433 28782280866 43173421299 86346842598 666789506729 1333579013458 2000368520187 4000737040374 6001105560561 12002211121122