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12112011222012 = 223213619109738113
BaseRepresentation
bin1011000001000000110000…
…1000000101101111111100
31120212220012212221202002200
42300100030020011233330
53041420344333101022
641432103043151500
72360030633464002
oct260201410055774
946786185852080
1012112011222012
11394a747636869
121437480075590
1369b208792990
142dc31dd3ca72
151600db895bac
hexb040c205bfc

12112011222012 has 144 divisors (see below), whose sum is σ = 33055823979360. Its totient is φ = 3717262761984.

The previous prime is 12112011222011. The next prime is 12112011222079. The reversal of 12112011222012 is 21022211021121.

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 (12112011222011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317773068 + ... + 317811180.

It is an arithmetic number, because the mean of its divisors is an integer number (229554333190).

Almost surely, 212112011222012 is an apocalyptic number.

12112011222012 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 12112011222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527911989680).

12112011222012 is an abundant number, since it is smaller than the sum of its proper divisors (20943812757348).

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

12112011222012 is a wasteful number, since it uses less digits than its factorization.

12112011222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39852 (or 39847 counting only the distinct ones).

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

Adding to 12112011222012 its reverse (21022211021121), we get a palindrome (33134222243133).

The spelling of 12112011222012 in words is "twelve trillion, one hundred twelve billion, eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 619 1097 1238 1857 2194 2476 3291 3714 4388 5571 6582 7428 8047 9873 11142 13164 14261 16094 19746 22284 24141 28522 32188 38113 39492 42783 48282 57044 72423 76226 85566 96564 114339 128349 144846 152452 171132 228678 256698 289692 343017 457356 495469 513396 679043 686034 990938 1358086 1372068 1486407 1981876 2037129 2716172 2972814 4074258 4459221 5945628 6111387 8148516 8827559 8918442 12222774 17655118 17836884 23591947 24445548 26482677 35310236 41809961 47183894 52965354 70775841 79448031 83619922 94367788 105930708 125429883 141551682 158896062 167239844 212327523 250859766 283103364 306695311 317792124 376289649 424655046 501719532 543529493 613390622 752579298 849310092 920085933 1087058986 1226781244 1505158596 1630588479 1840171866 2174117972 2760257799 3261176958 3680343732 4891765437 5520515598 6522353916 9783530874 11041031196 19567061748 25880365859 51760731718 77641097577 103521463436 155282195154 232923292731 310564390308 336444756167 465846585462 672889512334 931693170924 1009334268501 1345779024668 2018668537002 3028002805503 4037337074004 6056005611006 12112011222012