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12202210111221 = 3313534639711459
BaseRepresentation
bin1011000110010000110001…
…1001100010111011110101
31121012112001000002001221000
42301210030121202323311
53044410111242024341
641541341250313513
72366403066420324
oct261441431427365
947175030061830
1012202210111221
113984a235512a9
121450a53588899
136a6881870780
143028394100bb
1516261a40c8b6
hexb190c662ef5

12202210111221 has 128 divisors (see below), whose sum is σ = 19912183603200. Its totient is φ = 7338855363840.

The previous prime is 12202210111213. The next prime is 12202210111229. The reversal of 12202210111221 is 12211101220221.

12202210111221 is a `hidden beast` number, since 1 + 220 + 2 + 210 + 1 + 11 + 221 = 666.

12202210111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12202210111213) and next prime (12202210111229).

It is not a de Polignac number, because 12202210111221 - 23 = 12202210111213 is a prime.

It is a super-2 number, since 2×122022101112212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12202210111194 and 12202210111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202210111229) 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, 8363405790 + ... + 8363407248.

It is an arithmetic number, because the mean of its divisors is an integer number (155563934400).

Almost surely, 212202210111221 is an apocalyptic number.

It is an amenable number.

12202210111221 is a deficient number, since it is larger than the sum of its proper divisors (7709973491979).

12202210111221 is a wasteful number, since it uses less digits than its factorization.

12202210111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

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

Adding to 12202210111221 its reverse (12211101220221), we get a palindrome (24413311331442).

The spelling of 12202210111221 in words is "twelve trillion, two hundred two billion, two hundred ten million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 53 117 159 351 463 477 689 971 1389 1431 1459 2067 2913 4167 4377 6019 6201 8739 12501 12623 13131 18057 18603 18967 24539 26217 37869 39393 51463 54171 56901 73617 77327 113607 154389 162513 170703 220851 231981 319007 340821 449573 463167 512109 662553 669019 675517 695943 957021 1005251 1348719 1389501 1416689 2007057 2026551 2087829 2871063 3015753 4046157 4250067 5844449 6021171 6079653 8613189 8781721 9047259 12138471 12750201 17533347 18063513 18238959 18416957 23827369 26345163 27141777 35802401 38250603 52600041 55250871 71482107 75084517 79035489 107407203 157800123 165752613 214446321 225253551 237106467 309755797 322221609 465431213 497257839 643338963 655927007 675760653 929267391 966664827 976098721 1396293639 1967781021 2027281959 2787802173 2928296163 4188880917 5903343063 8363406519 8527051091 8784888489 12566642751 17710029189 25581153273 26354665467 34764131371 76743459819 104292394113 230230379457 312877182339 451933707823 938631547017 1355801123469 4067403370407 12202210111221