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12121102012110 = 2357136766268121
BaseRepresentation
bin1011000001100010100111…
…1110101100111011001110
31120220202200102212201201020
42300120221332230323032
53042043004103341420
641440205110255010
72360502131101140
oct260305176547316
946822612781636
1012121102012110
1139535920a8a33
121439198657466
1369c026cb0710
142dc943428c90
1516046ea08340
hexb0629facece

12121102012110 has 128 divisors (see below), whose sum is σ = 36338257234944. Its totient is φ = 2519248849920.

The previous prime is 12121102012027. The next prime is 12121102012157. The reversal of 12121102012110 is 1121020112121.

It is a happy number.

It is a super-3 number, since 3×121211020121103 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12121102012110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32951151 + ... + 33316970.

It is an arithmetic number, because the mean of its divisors is an integer number (283892634648).

Almost surely, 212121102012110 is an apocalyptic number.

12121102012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121102012110 is an abundant number, since it is smaller than the sum of its proper divisors (24217155222834).

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

12121102012110 is a wasteful number, since it uses less digits than its factorization.

12121102012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66268218.

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

Adding to 12121102012110 its reverse (1121020112121), we get a palindrome (13242122124231).

The spelling of 12121102012110 in words is "twelve trillion, one hundred twenty-one billion, one hundred two million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 67 70 78 91 105 130 134 182 195 201 210 273 335 390 402 455 469 546 670 871 910 938 1005 1365 1407 1742 2010 2345 2613 2730 2814 4355 4690 5226 6097 7035 8710 12194 13065 14070 18291 26130 30485 36582 60970 91455 182910 66268121 132536242 198804363 331340605 397608726 463876847 662681210 861485573 927753694 994021815 1391630541 1722971146 1988043630 2319384235 2584456719 2783261082 4307427865 4439964107 4638768470 5168913438 6030399011 6958152705 8614855730 8879928214 12060798022 12922283595 13319892321 13916305410 18091197033 22199820535 25844567190 26639784642 30151995055 31079748749 36182394066 44399641070 57719533391 60303990110 62159497498 66599461605 90455985165 93239246247 115439066782 133198923210 155398743745 173158600173 180911970330 186478492494 288597666955 310797487490 346317200346 404036733737 466196231235 577195333910 808073467474 865793000865 932392462470 1212110201211 1731586001730 2020183668685 2424220402422 4040367337370 6060551006055 12121102012110