Search a number
-
+
12012132200220 = 22325298327724997
BaseRepresentation
bin1010111011001100101011…
…0111110110111100011100
31120112100102010221201202100
42232303022313312330130
53033301321320401340
641314144121125100
72346563556012435
oct256631267667434
946470363851670
1012012132200220
113911353520459
121420046929790
1369197c060499
142d7566db048c
1515c6e30a6830
hexaeccadf6f1c

12012132200220 has 144 divisors (see below), whose sum is σ = 38147379248160. Its totient is φ = 3055516359168.

The previous prime is 12012132200207. The next prime is 12012132200251. The reversal of 12012132200220 is 2200223121021.

12012132200220 is a `hidden beast` number, since 1 + 2 + 0 + 121 + 322 + 0 + 0 + 220 = 666.

It is a super-3 number, since 3×120121322002203 (a number of 40 digits) contains 333 as substring.

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 = 12012132200193 and 12012132200202.

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, 13429239 + ... + 14295758.

It is an arithmetic number, because the mean of its divisors is an integer number (264912355890).

Almost surely, 212012132200220 is an apocalyptic number.

12012132200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012132200220 is an abundant number, since it is smaller than the sum of its proper divisors (26135247047940).

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

12012132200220 is a wasteful number, since it uses less digits than its factorization.

12012132200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27725124 (or 27725119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12012132200220 its reverse (2200223121021), we get a palindrome (14212355321241).

The spelling of 12012132200220 in words is "twelve trillion, twelve billion, one hundred thirty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 83 87 90 116 145 166 174 180 249 261 290 332 348 415 435 498 522 580 747 830 870 996 1044 1245 1305 1494 1660 1740 2407 2490 2610 2988 3735 4814 4980 5220 7221 7470 9628 12035 14442 14940 21663 24070 28884 36105 43326 48140 72210 86652 108315 144420 216630 433260 27724997 55449994 83174991 110899988 138624985 166349982 249524973 277249970 332699964 415874955 499049946 554499940 804024913 831749910 998099892 1247624865 1608049826 1663499820 2301174751 2412074739 2495249730 3216099652 4020124565 4602349502 4824149478 4990499460 6903524253 7236224217 8040249130 9204699004 9648298956 11505873755 12060373695 13807048506 14472448434 16080498260 20710572759 23011747510 24120747390 27614097012 28944896868 34517621265 36181121085 41421145518 46023495020 48241494780 66734067779 69035242530 72362242170 82842291036 103552863795 133468135558 138070485060 144724484340 200202203337 207105727590 266936271116 333670338895 400404406674 414211455180 600606610011 667340677790 800808813348 1001011016685 1201213220022 1334681355580 2002022033370 2402426440044 3003033050055 4004044066740 6006066100110 12012132200220