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12102212100012 = 2237997211312007
BaseRepresentation
bin1011000000011100010000…
…0011011001111110101100
31120211221220222011202210020
42300013010003121332230
53041240312244200022
641423402434042140
72356233045354126
oct260070403317654
946757828152706
1012102212100012
113946579254431
1214355a6419350
1369a3065a9338
142dba7074a216
1515ec1646735c
hexb01c40d9fac

12102212100012 has 144 divisors (see below), whose sum is σ = 29151911900160. Its totient is φ = 3906734727168.

The previous prime is 12102212099969. The next prime is 12102212100049. The reversal of 12102212100012 is 21000121220121.

It is a junction number, because it is equal to n+sod(n) for n = 12102212099964 and 12102212100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007923713 + ... + 1007935719.

It is an arithmetic number, because the mean of its divisors is an integer number (202443832640).

Almost surely, 212102212100012 is an apocalyptic number.

12102212100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102212100012 is an abundant number, since it is smaller than the sum of its proper divisors (17049699800148).

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

12102212100012 is a wasteful number, since it uses less digits than its factorization.

12102212100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12400 (or 12301 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102212100012 its reverse (21000121220121), we get a palindrome (33102333320133).

The spelling of 12102212100012 in words is "twelve trillion, one hundred two billion, two hundred twelve million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 79 97 113 158 194 226 237 291 316 339 388 452 474 582 678 948 1164 1356 7663 8927 9409 10961 12007 15326 17854 18818 21922 22989 24014 26781 28227 30652 32883 35708 36021 37636 43844 45978 48028 53562 56454 65766 72042 91956 107124 112908 131532 144084 743311 865919 948553 1063217 1164679 1356791 1486622 1731838 1897106 2126434 2229933 2329358 2597757 2713582 2845659 2973244 3189651 3463676 3494037 3794212 4070373 4252868 4459866 4658716 5195514 5427164 5691318 6379302 6988074 8140746 8919732 10391028 11382636 12758604 13976148 16281492 83994143 92009641 107186489 112973863 131608727 167988286 184019282 214372978 225947726 251982429 263217454 276028923 321559467 335976572 338921589 368038564 394826181 428745956 451895452 503964858 526434908 552057846 643118934 677843178 789652362 1007929716 1104115692 1286237868 1355686356 1579304724 8924935177 10397089433 12766046519 17849870354 20794178866 25532093038 26774805531 31191268299 35699740708 38298139557 41588357732 51064186076 53549611062 62382536598 76596279114 107099222124 124765073196 153192558228 1008517675001 2017035350002 3025553025003 4034070700004 6051106050006 12102212100012