Search a number
-
+
12122100110010 = 23511237920216641
BaseRepresentation
bin1011000001100110010101…
…1110001001001010111010
31120220212020222222100122010
42300121211132021022322
53042102030112010020
641440452123110350
72360535640560432
oct260314536111272
946825228870563
1012122100110010
113953a54542730
1214394169723b6
1369c155a02ba7
142dc9d9bdd2c2
151604cc460de0
hexb06657892ba

12122100110010 has 128 divisors (see below), whose sum is σ = 33536983080960. Its totient is φ = 2775340339200.

The previous prime is 12122100110009. The next prime is 12122100110023. The reversal of 12122100110010 is 1001100122121.

It is a super-2 number, since 2×121221001100102 (a number of 27 digits) contains 22 as substring.

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, 9508711 + ... + 10707930.

It is an arithmetic number, because the mean of its divisors is an integer number (262007680320).

Almost surely, 212122100110010 is an apocalyptic number.

12122100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122100110010 is an abundant number, since it is smaller than the sum of its proper divisors (21414882970950).

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

12122100110010 is a wasteful number, since it uses less digits than its factorization.

12122100110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20216764.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12122100110010 its reverse (1001100122121), we get a palindrome (13123200232131).

The spelling of 12122100110010 in words is "twelve trillion, one hundred twenty-two billion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 79 110 115 138 158 165 230 237 253 330 345 395 474 506 690 759 790 869 1185 1265 1518 1738 1817 2370 2530 2607 3634 3795 4345 5214 5451 7590 8690 9085 10902 13035 18170 19987 26070 27255 39974 54510 59961 99935 119922 199870 299805 599610 20216641 40433282 60649923 101083205 121299846 202166410 222383051 303249615 444766102 464982743 606499230 667149153 929965486 1111915255 1334298306 1394948229 1597114639 2223830510 2324913715 2789896458 3194229278 3335745765 4649827430 4791343917 5114810173 6671491530 6974741145 7985573195 9582687834 10229620346 13949482290 15344430519 15971146390 17568261029 23956719585 25574050865 30688861038 35136522058 36733636697 47913439170 51148101730 52704783087 73467273394 76722152595 87841305145 105409566174 110200910091 153444305190 175682610290 183668183485 220401820182 263523915435 367336366970 404070003667 527047830870 551004550455 808140007334 1102009100910 1212210011001 2020350018335 2424420022002 4040700036670 6061050055005 12122100110010