Search a number
-
+
12012122201220 = 2233527817799679
BaseRepresentation
bin1010111011001100101001…
…0001101101110010000100
31120112100101110010201201000
42232303022101231302010
53033301311240414340
641314143122533300
72346563405016021
oct256631221556204
946470343121630
1012012122201220
113911348911019
121420043507230
13691979c6c20b
142d756592a548
1515c6e227dd30
hexaecca46dc84

12012122201220 has 96 divisors (see below), whose sum is σ = 37372437043200. Its totient is φ = 3203113427712.

The previous prime is 12012122201207. The next prime is 12012122201231. The reversal of 12012122201220 is 2210222121021.

It is a happy number.

12012122201220 is a `hidden beast` number, since 1 + 201 + 21 + 2 + 220 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12012122201193 and 12012122201202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14621341 + ... + 15421019.

It is an arithmetic number, because the mean of its divisors is an integer number (389296219200).

Almost surely, 212012122201220 is an apocalyptic number.

12012122201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012122201220 is an abundant number, since it is smaller than the sum of its proper divisors (25360314841980).

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

12012122201220 is a wasteful number, since it uses less digits than its factorization.

12012122201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827514 (or 827506 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012122201220 its reverse (2210222121021), we get a palindrome (14222344322241).

The spelling of 12012122201220 in words is "twelve trillion, twelve billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 27817 55634 83451 111268 139085 166902 250353 278170 333804 417255 500706 556340 751059 799679 834510 1001412 1251765 1502118 1599358 1669020 2399037 2503530 3004236 3198716 3755295 3998395 4798074 5007060 7197111 7510590 7996790 9596148 11995185 14394222 15021180 15993580 21591333 23990370 28788444 35985555 43182666 47980740 71971110 86365332 107956665 143942220 215913330 431826660 22244670743 44489341486 66734012229 88978682972 111223353715 133468024458 200202036687 222446707430 266936048916 333670061145 400404073374 444893414860 600606110061 667340122290 800808146748 1001010183435 1201212220122 1334680244580 2002020366870 2402424440244 3003030550305 4004040733740 6006061100610 12012122201220