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12021212010012 = 223172191091167221
BaseRepresentation
bin1010111011101110100000…
…0100100101011000011100
31120120012211221012212012220
42232323220010211120130
53033423420233310022
641322245113025340
72350334561065212
oct256735004453034
946505757185186
1012021212010012
113915192872997
12142195b6b5250
136927982053ba
142d7b88c3ccb2
1515ca7529a85c
hexaeee812561c

12021212010012 has 144 divisors (see below), whose sum is σ = 31393696414080. Its totient is φ = 3569571763200.

The previous prime is 12021212009987. The next prime is 12021212010019. The reversal of 12021212010012 is 21001021212021.

It is a junction number, because it is equal to n+sod(n) for n = 12021212009973 and 12021212010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021212010019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71804562 + ... + 71971782.

Almost surely, 212021212010012 is an apocalyptic number.

12021212010012 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 12021212010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696848207040).

12021212010012 is an abundant number, since it is smaller than the sum of its proper divisors (19372484404068).

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

12021212010012 is a wasteful number, since it uses less digits than its factorization.

12021212010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168372 (or 168353 counting only the distinct ones).

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

Adding to 12021212010012 its reverse (21001021212021), we get a palindrome (33022233222033).

The spelling of 12021212010012 in words is "twelve trillion, twenty-one billion, two hundred twelve million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 289 323 578 646 867 969 1091 1156 1292 1734 1938 2182 3273 3468 3876 4364 5491 6546 10982 13092 16473 18547 20729 21964 32946 37094 41458 55641 62187 65892 74188 82916 111282 124374 167221 222564 248748 315299 334442 352393 501663 630598 668884 704786 945897 1003326 1057179 1261196 1409572 1891794 2006652 2114358 2842757 3177199 3783588 4228716 5685514 5990681 6354398 8528271 9531597 11371028 11981362 12708796 17056542 17972043 19063194 23962724 34113084 35944086 38126388 48326869 54012383 71888172 96653738 108024766 144980607 162037149 182438111 193307476 216049532 289961214 324074298 364876222 547314333 579922428 648148596 729752444 918210511 1094628666 1836421022 2189257332 2754631533 3101447887 3466324109 3672842044 5509263066 6202895774 6932648218 9304343661 10398972327 11018526132 12405791548 13865296436 18608687322 20797944654 37217374644 41595889308 52724614079 58927509853 105449228158 117855019706 158173842237 176782529559 210898456316 235710039412 316347684474 353565059118 632695368948 707130118236 1001767667501 2003535335002 3005303002503 4007070670004 6010606005006 12021212010012