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121011022001221 = 11192127516746439
BaseRepresentation
bin11011100000111100010010…
…111110101111010001000101
3120212110112121012001010122221
4123200330102332233101011
5111330121033113014341
61105211410203052341
734326520635331432
oct3340742276572105
9525415535033587
10121011022001221
1135615539194820
12116a48b65110b1
13526a3a1054111
1421c4d71272b89
15decb93854ed1
hex6e0f12faf445

121011022001221 has 48 divisors (see below), whose sum is σ = 140452963614720. Its totient is φ = 103377151251360.

The previous prime is 121011022001209. The next prime is 121011022001279. The reversal of 121011022001221 is 122100220110121.

It is not a de Polignac number, because 121011022001221 - 211 = 121011021999173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121011022001195 and 121011022001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011022071221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2605782720 + ... + 2605829158.

It is an arithmetic number, because the mean of its divisors is an integer number (2926103408640).

Almost surely, 2121011022001221 is an apocalyptic number.

121011022001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121011022001221 is a deficient number, since it is larger than the sum of its proper divisors (19441941613499).

121011022001221 is a wasteful number, since it uses less digits than its factorization.

121011022001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51782 (or 51763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121011022001221 its reverse (122100220110121), we get a palindrome (243111242111342).

The spelling of 121011022001221 in words is "one hundred twenty-one trillion, eleven billion, twenty-two million, one thousand, two hundred twenty-one".

Divisors: 1 11 19 127 209 361 1397 2413 3971 5167 26543 45847 46439 56837 98173 504317 510829 656209 882341 1079903 1865287 5897753 7218299 9705751 12467971 16764479 20518157 64875283 112057307 137147681 184409269 236891449 239950313 1232630377 2129088833 2605805939 2639453443 4559055947 23419977163 30473689751 50149615417 86622062993 335210587261 579000105269 952842692923 6369001157959 11001002000111 121011022001221