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12121112220112 = 2471133623264349
BaseRepresentation
bin1011000001100010101010…
…0101101001000111010000
31120220202201011002100110101
42300120222211221013100
53042043014212020422
641440210113142144
72360502313625110
oct260305245510720
946822634070411
1012121112220112
1139535979403a5
12143919bb5a954
1369c029145b5c
142dc944925040
15160470872c27
hexb062a9691d0

12121112220112 has 80 divisors (see below), whose sum is σ = 27084700396800. Its totient is φ = 5147350419456.

The previous prime is 12121112220083. The next prime is 12121112220149. The reversal of 12121112220112 is 21102221112121.

It is a happy number.

It is a super-3 number, since 3×121211122201123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12121112220112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45720514 + ... + 45984862.

It is an arithmetic number, because the mean of its divisors is an integer number (338558754960).

Almost surely, 212121112220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121112220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542350198400).

12121112220112 is an abundant number, since it is smaller than the sum of its proper divisors (14963588176688).

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

12121112220112 is a wasteful number, since it uses less digits than its factorization.

12121112220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268100 (or 268094 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12121112220112 its reverse (21102221112121), we get a palindrome (33223333332233).

The spelling of 12121112220112 in words is "twelve trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 904 1582 1808 3164 3623 6328 7246 12656 14492 25361 28984 50722 57968 101444 202888 264349 405776 409399 528698 818798 1057396 1637596 1850443 2114792 2865793 3275192 3700886 4229584 5731586 6550384 7401772 11463172 14803544 22926344 29607088 29871437 45852688 59742874 119485748 209100059 238971496 418200118 477942992 836400236 957736427 1672800472 1915472854 3345600944 3830945708 6704154989 7661891416 13408309978 15323782832 26816619956 53633239912 107266479824 108224216251 216448432502 432896865004 757569513757 865793730008 1515139027514 1731587460016 3030278055028 6060556110056 12121112220112