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12001111023330 = 23251121384771569
BaseRepresentation
bin1010111010100011100111…
…1101011001111011100010
31120111021222001122221021200
42232220321331121323202
53033111233410221310
641305122335102030
72346023501366412
oct256507175317342
946437861587250
1012001111023330
113907708339100
121419a8b971916
1369091392cb40
142d6bdd38a642
1515c29a7329c0
hexaea39f59ee2

12001111023330 has 144 divisors (see below), whose sum is σ = 36935651221560. Its totient is φ = 2685563274240.

The previous prime is 12001111023311. The next prime is 12001111023409. The reversal of 12001111023330 is 3332011110021.

12001111023330 is a `hidden beast` number, since 1 + 200 + 1 + 1 + 110 + 23 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6381267097689 + 5619843925641 = 2526117^2 + 2370621^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42244215 + ... + 42527354.

Almost surely, 212001111023330 is an apocalyptic number.

12001111023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001111023330 is an abundant number, since it is smaller than the sum of its proper divisors (24934540198230).

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

12001111023330 is a wasteful number, since it uses less digits than its factorization.

12001111023330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84771617 (or 84771603 counting only the distinct ones).

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

Adding to 12001111023330 its reverse (3332011110021), we get a palindrome (15333122133351).

The spelling of 12001111023330 in words is "twelve trillion, one billion, one hundred eleven million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 121 130 143 165 195 198 234 242 286 330 363 390 429 495 585 605 715 726 858 990 1089 1170 1210 1287 1430 1573 1815 2145 2178 2574 3146 3630 4290 4719 5445 6435 7865 9438 10890 12870 14157 15730 23595 28314 47190 70785 141570 84771569 169543138 254314707 423857845 508629414 762944121 847715690 932487259 1102030397 1271573535 1525888242 1864974518 2204060794 2543147070 2797461777 3306091191 3814720605 4662436295 5510151985 5594923554 6612182382 7629441210 8392385331 9324872590 9918273573 10257359849 11020303970 12122334367 13987308885 16530455955 16784770662 19836547146 20514719698 24244668734 27974617770 30772079547 33060911910 36367003101 41961926655 49591367865 51286799245 60611671835 61544159094 72734006202 83923853310 92316238641 99182735730 102573598490 109101009303 121223343670 133345678037 153860397735 181835015505 184632477282 218202018606 266691356074 307720795470 363670031010 400037034111 461581193205 545505046515 666728390185 800074068222 923162386410 1091010093030 1200111102333 1333456780370 2000185170555 2400222204666 4000370341110 6000555511665 12001111023330