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12112101212112 = 24321110099757157
BaseRepresentation
bin1011000001000001000101…
…1111010111111111010000
31120212220110011021201022100
42300100101133113333100
53041421040402241422
641432120020040400
72360033105415546
oct260202137277720
946786404251270
1012112101212112
11394a793410750
1214374a6233100
1369b221310265
142dc32bc85d96
151600e471e7ac
hexb04117d7fd0

12112101212112 has 120 divisors (see below), whose sum is σ = 36982322488800. Its totient is φ = 3669965418240.

The previous prime is 12112101212093. The next prime is 12112101212119. The reversal of 12112101212112 is 21121210121121.

It is a happy number.

12112101212112 is a `hidden beast` number, since 121 + 1 + 210 + 121 + 211 + 2 = 666.

12112101212112 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112101212119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15618238 + ... + 16375394.

It is an arithmetic number, because the mean of its divisors is an integer number (308186020740).

Almost surely, 212112101212112 is an apocalyptic number.

12112101212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12112101212112 is an abundant number, since it is smaller than the sum of its proper divisors (24870221276688).

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

12112101212112 is a wasteful number, since it uses less digits than its factorization.

12112101212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767281 (or 767272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12112101212112 its reverse (21121210121121), we get a palindrome (33233311333233).

The spelling of 12112101212112 in words is "twelve trillion, one hundred twelve billion, one hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 10099 20198 30297 40396 60594 80792 90891 111089 121188 161584 181782 222178 242376 333267 363564 444356 484752 666534 727128 757157 888712 999801 1333068 1454256 1514314 1777424 1999602 2271471 2666136 3028628 3999204 4542942 5332272 6057256 6814413 7998408 8328727 9085884 12114512 13628826 15996816 16657454 18171768 24986181 27257652 33314908 36343536 49972362 54515304 66629816 74958543 99944724 109030608 133259632 149917086 199889448 299834172 399778896 599668344 1199336688 7646528543 15293057086 22939585629 30586114172 45879171258 61172228344 68818756887 84111813973 91758342516 122344456688 137637513774 168223627946 183516685032 252335441919 275275027548 336447255892 367033370064 504670883838 550550055096 672894511784 757006325757 1009341767676 1101100110192 1345789023568 1514012651514 2018683535352 3028025303028 4037367070704 6056050606056 12112101212112