Search a number
-
+
120221220020121 = 3511611136964853
BaseRepresentation
bin11011010101011100101111…
…000111010001111110011001
3120202200000222112021102200000
4123111130233013101332121
5111224201024311120441
61103404511021403213
734215460622265063
oct3325345707217631
9522600875242600
10120221220020121
11353405955a4620
1211597817409509
135210a73b0756c
142198a49498733
15dd736a9d82b6
hex6d572f1d1f99

120221220020121 has 96 divisors (see below), whose sum is σ = 199697004823680. Its totient is φ = 71659488499200.

The previous prime is 120221220020117. The next prime is 120221220020137. The reversal of 120221220020121 is 121020022122021.

It is a happy number.

120221220020121 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 220 + 0 + 201 + 21 = 666.

It is not a de Polignac number, because 120221220020121 - 22 = 120221220020117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120221220020094 and 120221220020103.

It is not an unprimeable number, because it can be changed into a prime (120221220020621) 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, 1853717131 + ... + 1853781983.

It is an arithmetic number, because the mean of its divisors is an integer number (2080177133580).

Almost surely, 2120221220020121 is an apocalyptic number.

120221220020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120221220020121 is a deficient number, since it is larger than the sum of its proper divisors (79475784803559).

120221220020121 is a wasteful number, since it uses less digits than its factorization.

120221220020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76309 (or 76297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120221220020121 its reverse (121020022122021), we get a palindrome (241241242142142).

The spelling of 120221220020121 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 61 81 99 183 243 297 549 671 891 1647 2013 2673 4941 6039 11369 14823 18117 34107 54351 64853 102321 125059 163053 194559 306963 375177 583677 693509 713383 920889 1125531 1751031 2080527 2140149 2762667 3376593 3956033 5253093 6241581 6420447 7628599 10129779 11868099 15759279 18724743 19261341 22885797 30389337 35604297 43516363 56174229 57784023 68657391 106812891 130549089 168522687 173352069 205972173 320438673 391647267 617916519 737313757 961316019 1174941801 1853749557 2211941271 3524825403 6635823813 8110451327 10574476209 19907471439 24331353981 44976139177 59722414317 72994061943 134928417531 179167242951 218982185829 404785252593 494737530947 656946557487 1214355757779 1484212592841 1970839672461 3643067273337 4452637778523 10929201820011 13357913335569 40073740006707 120221220020121