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12201211010121 = 3721737193683719
BaseRepresentation
bin1011000110001101000011…
…0110010001110001001001
31121012102110101002110212120
42301203100312101301021
53044401040004310441
641541054200201453
72366336245252200
oct261432066216111
947172411073776
1012201211010121
113984560591911
121450814a69289
136a67528897a3
14302782858237
151625ac857966
hexb18d0d91c49

12201211010121 has 96 divisors (see below), whose sum is σ = 20685735279360. Its totient is φ = 6351554248704.

The previous prime is 12201211010111. The next prime is 12201211010159. The reversal of 12201211010121 is 12101011210221.

It is a happy number.

It is not a de Polignac number, because 12201211010121 - 214 = 12201210993737 is a prime.

It is a super-2 number, since 2×122012110101212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12201211010121.

It is not an unprimeable number, because it can be changed into a prime (12201211010111) 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 95 ways as a sum of consecutive naturals, for example, 17503500 + ... + 18187218.

It is an arithmetic number, because the mean of its divisors is an integer number (215476409160).

Almost surely, 212201211010121 is an apocalyptic number.

It is an amenable number.

12201211010121 is a deficient number, since it is larger than the sum of its proper divisors (8484524269239).

12201211010121 is a wasteful number, since it uses less digits than its factorization.

12201211010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683983 (or 683976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12201211010121 its reverse (12101011210221), we get a palindrome (24302222220342).

The spelling of 12201211010121 in words is "twelve trillion, two hundred one billion, two hundred eleven million, ten thousand, one hundred twenty-one".

Divisors: 1 3 7 17 21 37 49 51 111 119 147 193 259 357 579 629 777 833 1351 1813 1887 2499 3281 4053 4403 5439 7141 9457 9843 13209 21423 22967 28371 30821 49987 68901 92463 121397 149961 160769 349909 364191 482307 683719 849779 1049727 2051157 2549337 4786033 5948453 11623223 14358099 17845359 25297603 33502231 34869669 75892809 81362561 100506693 131957767 177083221 244087683 395873301 430059251 531249663 569537927 923704369 1239582547 1290177753 1708613781 2243282039 2771113107 3010414757 3718747641 4882437379 6465930583 6729846117 9031244271 14647312137 15702974273 19397791749 21072903299 34177061653 47108922819 63218709897 83001435443 102531184959 109920819911 239239431571 249004306329 329762459733 581010048101 717718294713 1743030144303 4067070336707 12201211010121