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12112122010212 = 22327238212545357
BaseRepresentation
bin1011000001000001001010…
…1110101101101001100100
31120212220111121102100221100
42300100102232231221210
53041421111213311322
641432122041520100
72360033450250450
oct260202256555144
946786447370840
1012112122010212
11394a7a4126664
1214374b11a3030
1369b225712a23
142dc33093b660
151600e647bdac
hexb0412bada64

12112122010212 has 144 divisors (see below), whose sum is σ = 36556390870272. Its totient is φ = 3306112001280.

The previous prime is 12112122010129. The next prime is 12112122010229. The reversal of 12112122010212 is 21201022121121.

12112122010212 is a `hidden beast` number, since 1 + 211 + 21 + 220 + 1 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3485838 + ... + 6031194.

It is an arithmetic number, because the mean of its divisors is an integer number (253863825488).

Almost surely, 212112122010212 is an apocalyptic number.

12112122010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112122010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278195435136).

12112122010212 is an abundant number, since it is smaller than the sum of its proper divisors (24444268860060).

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

12112122010212 is a wasteful number, since it uses less digits than its factorization.

12112122010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546218 (or 2546213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12112122010212 its reverse (21201022121121), we get a palindrome (33313144131333).

The spelling of 12112122010212 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 821 828 966 1449 1642 1932 2463 2898 3284 4926 5747 5796 7389 9852 11494 14778 17241 18883 22988 29556 34482 37766 51723 56649 68964 75532 103446 113298 132181 169947 206892 226596 264362 339894 396543 528724 679788 793086 1189629 1586172 2379258 2545357 4758516 5090714 7636071 10181428 15272142 17817499 22908213 30544284 35634998 45816426 53452497 58543211 71269996 91632852 106904994 117086422 160357491 175629633 213809988 234172844 320714982 351259266 409802477 526888899 641429964 702518532 819604954 1053777798 1229407431 1639209908 2089738097 2107555596 2458814862 3688222293 4179476194 4917629724 6269214291 7376444586 8358952388 12538428582 14628166679 14752889172 18807642873 25076857164 29256333358 37615285746 43884500037 48063976231 58512666716 75230571492 87769000074 96127952462 131653500111 144191928693 175538000148 192255904924 263307000222 288383857386 336447833617 432575786079 526614000444 576767714772 672895667234 865151572158 1009343500851 1345791334468 1730303144316 2018687001702 3028030502553 4037374003404 6056061005106 12112122010212