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12112221212238 = 23729312391342199
BaseRepresentation
bin1011000001000001100010…
…1001001000111001001110
31120212220202112002100112110
42300100120221020321032
53041421312112242423
641432135544044450
72360036063410260
oct260203051107116
946786675070473
1012112221212238
11394a845122604
12143751a463726
1369b240137254
142dc33dba1b30
15160100025193
hexb0418a48e4e

12112221212238 has 128 divisors (see below), whose sum is σ = 29687316480000. Its totient is φ = 3219986689920.

The previous prime is 12112221212237. The next prime is 12112221212239. The reversal of 12112221212238 is 83221212221121.

It is an interprime number because it is at equal distance from previous prime (12112221212237) and next prime (12112221212239).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112221212237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8353063 + ... + 9695261.

It is an arithmetic number, because the mean of its divisors is an integer number (231932160000).

Almost surely, 212112221212238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112221212238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843658240000).

12112221212238 is an abundant number, since it is smaller than the sum of its proper divisors (17575095267762).

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

12112221212238 is a wasteful number, since it uses less digits than its factorization.

12112221212238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342510.

The product of its digits is 3072, while the sum is 30.

Adding to 12112221212238 its reverse (83221212221121), we get a palindrome (95333433433359).

The spelling of 12112221212238 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twelve thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 239 406 434 478 609 651 717 899 1218 1302 1434 1673 1798 2697 3346 5019 5394 6293 6931 7409 10038 12586 13862 14818 18879 20793 22227 37758 41586 44454 48517 51863 97034 103726 145551 155589 214861 291102 311178 429722 644583 1289166 1342199 1504027 2684398 3008054 4026597 4512081 8053194 9024162 9395393 18790786 28186179 38923771 41608169 56372358 77847542 83216338 116771313 124824507 233542626 249649014 272466397 291257183 320785561 544932794 582514366 641571122 817399191 873771549 962356683 1206636901 1634798382 1747543098 1924713366 2245498927 2413273802 3619910703 4490997854 6736496781 7239821406 8446458307 9302781269 9944352391 13472993562 16892916614 18605562538 19888704782 25339374921 27908343807 29833057173 50678749842 55816687614 59666114346 65119468883 69610466737 130238937766 139220933474 195358406649 208831400211 288386219339 390716813298 417662800422 576772438678 865158658017 1730317316034 2018703535373 4037407070746 6056110606119 12112221212238