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12001110330132 = 223271141105595241
BaseRepresentation
bin1010111010100011100111…
…1010110000101100010100
31120111021222000100201101200
42232220321322300230110
53033111233221031012
641305122312152500
72346023462451420
oct256507172605424
946437860321350
1012001110330132
113907707a05310
121419a8b698730
13690913749471
142d6bdd249b80
1515c29a6473dc
hexaea39eb0b14

12001110330132 has 144 divisors (see below), whose sum is σ = 38744161432704. Its totient is φ = 3041142912000.

The previous prime is 12001110330113. The next prime is 12001110330151. The reversal of 12001110330132 is 23103301110021.

12001110330132 is a `hidden beast` number, since 1 + 200 + 1 + 1 + 1 + 0 + 330 + 132 = 666.

12001110330132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12001110330113) and next prime (12001110330151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 52683969 + ... + 52911272.

It is an arithmetic number, because the mean of its divisors is an integer number (269056676616).

Almost surely, 212001110330132 is an apocalyptic number.

12001110330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001110330132 is an abundant number, since it is smaller than the sum of its proper divisors (26743051102572).

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

12001110330132 is a wasteful number, since it uses less digits than its factorization.

12001110330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105595310 (or 105595305 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12001110330132 its reverse (23103301110021), we get a palindrome (35104411440153).

The spelling of 12001110330132 in words is "twelve trillion, one billion, one hundred ten million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 28413 37884 56826 113652 105595241 211190482 316785723 422380964 633571446 739166687 950357169 1161547651 1267142892 1478333374 1900714338 2217500061 2323095302 2956666748 3484642953 3801428676 4329404881 4435000122 4646190604 6652500183 6969285906 8130833557 8658809762 8870000244 10453928859 12988214643 13305000366 13938571812 16261667114 17317619524 20907857718 24392500671 25976429286 26610000732 30305834167 32523334228 38964643929 41815715436 47623453691 48785001342 51952858572 60611668334 73177502013 77929287858 90917502501 95246907382 97570002684 121223336668 142870361073 146355004026 155858575716 181835005002 190493814764 272752507503 285740722146 292710008052 333364175837 363670010004 428611083219 545505015006 571481444292 666728351674 857222166438 1000092527511 1091010030012 1333456703348 1714444332876 2000185055022 3000277582533 4000370110044 6000555165066 12001110330132