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12110101222221 = 32375914935311719
BaseRepresentation
bin1011000000111001101001…
…0010000001001101001101
31120212201021202221200221200
42300032122102001031031
53041402441403102341
641431145333220113
72356632411655332
oct260163222011515
946781252850850
1012110101222221
113949957480742
121437028491639
1369ac92b6a6a2
142dc1bc3d0989
15160028d5edb6
hexb039a48134d

12110101222221 has 96 divisors (see below), whose sum is σ = 18445920480000. Its totient is φ = 7647854505984.

The previous prime is 12110101222211. The next prime is 12110101222291. The reversal of 12110101222221 is 12222210101121.

12110101222221 is a `hidden beast` number, since 1 + 211 + 0 + 10 + 1 + 222 + 221 = 666.

It is not a de Polignac number, because 12110101222221 - 217 = 12110101091149 is a prime.

It is a super-2 number, since 2×121101012222212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12110101222194 and 12110101222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110101222211) 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, 1033367400 + ... + 1033379118.

It is an arithmetic number, because the mean of its divisors is an integer number (192145005000).

Almost surely, 212110101222221 is an apocalyptic number.

It is an amenable number.

12110101222221 is a deficient number, since it is larger than the sum of its proper divisors (6335819257779).

12110101222221 is a wasteful number, since it uses less digits than its factorization.

12110101222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12323 (or 12320 counting only the distinct ones).

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

Adding to 12110101222221 its reverse (12222210101121), we get a palindrome (24332311323342).

The spelling of 12110101222221 in words is "twelve trillion, one hundred ten billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 59 111 149 177 333 353 447 531 1059 1341 2183 3177 5513 6549 8791 11719 13061 16539 19647 20827 26373 35157 39183 49617 52597 62481 79119 105471 117549 157791 187443 325267 433603 473373 691421 770599 975801 1300809 1746131 1946089 2074263 2311797 2927403 3103223 3902427 4136807 5238393 5838267 6222789 6935391 9309669 12410421 15715179 17514801 25582577 27929007 37231263 64606847 76747731 103021729 114819251 153061859 193820541 230243193 244071613 309065187 344457753 459185577 581461623 616384243 732214839 927195561 1033373259 1377556731 1849152729 2196644517 3811803973 5547458187 9030649681 11435411919 22806216991 27091949043 34306235757 36366670337 68418650973 81275847129 109100011011 205255952919 327300033033 1345566802469 4036700407407 12110101222221