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12212002002201 = 3175339719495839
BaseRepresentation
bin1011000110110101010000…
…0010101001010100011001
31121020110022102020200010220
42301231110002221110121
53100040140003032301
641550041040430253
72400200536212411
oct261552402512431
947213272220126
1012212002002201
113989098844991
121452926918389
136a77823c49c1
143030c7a7d641
151629dedad936
hexb1b540a9519

12212002002201 has 64 divisors (see below), whose sum is σ = 17622064512000. Its totient is φ = 7493790560256.

The previous prime is 12212002002199. The next prime is 12212002002223. The reversal of 12212002002201 is 10220020021221.

It is not a de Polignac number, because 12212002002201 - 21 = 12212002002199 is a prime.

It is a super-2 number, since 2×122120020022012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12212002006201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091451440 + ... + 2091457278.

It is an arithmetic number, because the mean of its divisors is an integer number (275344758000).

Almost surely, 212212002002201 is an apocalyptic number.

It is an amenable number.

12212002002201 is a deficient number, since it is larger than the sum of its proper divisors (5410062509799).

12212002002201 is a wasteful number, since it uses less digits than its factorization.

12212002002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12212002002201 its reverse (10220020021221), we get a palindrome (22432022023422).

The spelling of 12212002002201 in words is "twelve trillion, two hundred twelve billion, two million, two thousand, two hundred one".

Divisors: 1 3 17 51 53 159 397 901 1191 1949 2703 5839 5847 6749 17517 20247 21041 33133 63123 99263 99399 103297 297789 309467 309891 357697 773753 928401 1073091 1756049 2318083 2321259 5260939 5268147 6954249 11380211 13153801 15782817 34140633 39407411 39461403 41008909 118222233 122858399 123026727 193463587 368575197 580390761 603151183 697151453 1809453549 2088592783 2091454359 4517943767 6265778349 10253570111 13553831301 30760710333 76805044039 230415132117 239451019651 718353058953 4070667334067 12212002002201