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12242110442220 = 22335171333563229
BaseRepresentation
bin1011001000100101011010…
…1001001110101011101100
31121100100000201120220021000
42302021112221032223230
53101033320233122340
642011540425040300
72402314623555051
oct262112651165354
947310021526230
1012242110442220
11399a93921456a
12145872a026090
136aa570097099
14304742675028
151636a32a7d30
hexb2256a4eaec

12242110442220 has 96 divisors (see below), whose sum is σ = 40326952075200. Its totient is φ = 3072529677312.

The previous prime is 12242110442173. The next prime is 12242110442251. The reversal of 12242110442220 is 2224401124221.

12242110442220 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 211 + 0 + 4 + 422 + 20 = 666.

12242110442220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 666772435 + ... + 666790794.

It is an arithmetic number, because the mean of its divisors is an integer number (420072417450).

Almost surely, 212242110442220 is an apocalyptic number.

12242110442220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242110442220 is an abundant number, since it is smaller than the sum of its proper divisors (28084841632980).

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

12242110442220 is a wasteful number, since it uses less digits than its factorization.

12242110442220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333563264 (or 1333563256 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12242110442220 its reverse (2224401124221), we get a palindrome (14466511566441).

The spelling of 12242110442220 in words is "twelve trillion, two hundred forty-two billion, one hundred ten million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 1333563229 2667126458 4000689687 5334252916 6667816145 8001379374 12002069061 13335632290 16002758748 20003448435 22670574893 24004138122 26671264580 36006207183 40006896870 45341149786 48008276244 60010345305 68011724679 72012414366 80013793740 90682299572 113352874465 120020690610 136023449358 144024828732 180031035915 204035174037 226705748930 240041381220 272046898716 340058623395 360062071830 408070348074 453411497860 612105522111 680117246790 720124143660 816140696148 1020175870185 1224211044222 1360234493580 2040351740370 2448422088444 3060527610555 4080703480740 6121055221110 12242110442220