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12110101201221 = 341717343943271
BaseRepresentation
bin1011000000111001101001…
…0001111100000101000101
31120212201021202220122010220
42300032122101330011011
53041402441401414341
641431145332534553
72356632411540162
oct260163221740505
946781252818126
1012110101201221
113949957466991
121437028481459
1369ac92b60c6a
142dc1bc3c7069
15160028d58a66
hexb039a47c145

12110101201221 has 64 divisors (see below), whose sum is σ = 17042493726720. Its totient is φ = 7641551232000.

The previous prime is 12110101201171. The next prime is 12110101201243. The reversal of 12110101201221 is 12210210101121.

It is a happy number.

It is not a de Polignac number, because 12110101201221 - 214 = 12110101184837 is a prime.

It is a super-2 number, since 2×121101012012212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12110101201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110101205221) 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, 279844816 + ... + 279888086.

It is an arithmetic number, because the mean of its divisors is an integer number (266288964480).

Almost surely, 212110101201221 is an apocalyptic number.

It is an amenable number.

12110101201221 is a deficient number, since it is larger than the sum of its proper divisors (4932392525499).

12110101201221 is a wasteful number, since it uses less digits than its factorization.

12110101201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43898.

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

Adding to 12110101201221 its reverse (12210210101121), we get a palindrome (24320311302342).

The spelling of 12110101201221 in words is "twelve trillion, one hundred ten billion, one hundred one million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 41 71 73 123 213 219 439 1317 2911 2993 5183 8733 8979 15549 17999 31169 32047 43271 53997 93507 96141 129813 212503 637509 1277929 1313927 1774111 2275337 3072241 3158783 3833787 3941781 5322333 6826011 9216723 9476349 18995969 56987907 93288817 125961881 129510103 224273593 279866451 377885643 388530309 672820779 778834729 1348713799 1386705737 2336504187 4046141397 4160117211 9195217313 27585651939 55297265759 56854935217 98456107327 165891797277 170564805651 295368321981 4036700400407 12110101201221