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12101110201212 = 22317337500935141
BaseRepresentation
bin1011000000011000001001…
…0111111111101101111100
31120211212002011202111210120
42300012002113333231330
53041231033202414322
641423101232334540
72356163535362154
oct260060227775574
946755064674716
1012101110201212
11394606326256a
1214353393a4450
1369a18c212306
142db9a8275764
1515eb9e858a5c
hexb01825ffb7c

12101110201212 has 96 divisors (see below), whose sum is σ = 29992415019840. Its totient is φ = 3784298004480.

The previous prime is 12101110201181. The next prime is 12101110201223. The reversal of 12101110201212 is 21210201110121.

It is a happy number.

It is a super-2 number, since 2×121011102012122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101110201191 and 12101110201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344341162 + ... + 344376302.

It is an arithmetic number, because the mean of its divisors is an integer number (312420989790).

Almost surely, 212101110201212 is an apocalyptic number.

12101110201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101110201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996207509920).

12101110201212 is an abundant number, since it is smaller than the sum of its proper divisors (17891304818628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101110201212 is a wasteful number, since it uses less digits than its factorization.

12101110201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40511 (or 40509 counting only the distinct ones).

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

Adding to 12101110201212 its reverse (21210201110121), we get a palindrome (33311311311333).

The spelling of 12101110201212 in words is "twelve trillion, one hundred one billion, one hundred ten million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 337 674 1011 1348 2022 4044 5009 5729 10018 11458 15027 17187 20036 22916 30054 34374 35141 60108 68748 70282 85153 105423 140564 170306 210846 255459 340612 421692 510918 597397 1021836 1194794 1688033 1792191 2389588 3376066 3584382 5064099 6752132 7168764 10128198 11842517 20256396 23685034 28696561 35527551 47370068 57393122 71055102 86089683 114786244 142110204 172179366 176021269 201322789 344358732 352042538 402645578 528063807 603968367 704085076 805291156 1056127614 1207936734 2112255228 2415873468 2992361573 5984723146 8977084719 11969446292 17954169438 35908338876 59319167653 118638335306 177957502959 237276670612 355915005918 711830011836 1008425850101 2016851700202 3025277550303 4033703400404 6050555100606 12101110201212