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12011022102222 = 23211139748106049
BaseRepresentation
bin1010111011001000100010…
…1101001010111011001110
31120112020112210002220120200
42232302020231022323032
53033242033124232342
641313442023554330
72346524216231223
oct256621055127316
946466483086520
1012011022102222
1139109339393a0
12141b996bbb9a6
13691833085470
142d749d7a394a
1515c67a8c894c
hexaec88b4aece

12011022102222 has 96 divisors (see below), whose sum is σ = 30888702280800. Its totient is φ = 3325090037760.

The previous prime is 12011022102217. The next prime is 12011022102227. The reversal of 12011022102222 is 22220122011021.

It is a happy number.

12011022102222 is a `hidden beast` number, since 120 + 110 + 2 + 210 + 2 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (12011022102217) and next prime (12011022102227).

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 = 12011022102195 and 12011022102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011022102227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23803347 + ... + 24302702.

It is an arithmetic number, because the mean of its divisors is an integer number (321757315425).

Almost surely, 212011022102222 is an apocalyptic number.

12011022102222 is an abundant number, since it is smaller than the sum of its proper divisors (18877680178578).

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

12011022102222 is a wasteful number, since it uses less digits than its factorization.

12011022102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48106178 (or 48106175 counting only the distinct ones).

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

Adding to 12011022102222 its reverse (22220122011021), we get a palindrome (34231144113243).

The spelling of 12011022102222 in words is "twelve trillion, eleven billion, twenty-two million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 97 99 117 143 194 198 234 286 291 429 582 858 873 1067 1261 1287 1746 2134 2522 2574 3201 3783 6402 7566 9603 11349 13871 19206 22698 27742 41613 83226 124839 249678 48106049 96212098 144318147 288636294 432954441 529166539 625378637 865908882 1058333078 1250757274 1587499617 1876135911 3174999234 3752271822 4666286753 4762498851 5628407733 6879165007 9332573506 9524997702 11256815466 13758330014 13998860259 20637495021 27997720518 41274990042 41996580777 51329154283 60661727789 61912485063 83993161554 102658308566 121323455578 123824970126 153987462849 181985183367 307974925698 363970366734 461962388547 545955550101 667279005679 923924777094 1091911100202 1334558011358 2001837017037 4003674034074 6005511051111 12011022102222