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12000020011122 = 231113175813141529
BaseRepresentation
bin1010111010011111100011…
…1011100001100001110010
31120111012011000201202220010
42232213320323201201302
53033102020110323442
641304422202555350
72345654453055663
oct256477073414162
946435130652803
1012000020011122
1139071a8502520
121419826508b56
1369079b8a80a0
142d6b3850b36a
1515c234a74b9c
hexae9f8ee1872

12000020011122 has 128 divisors (see below), whose sum is σ = 29859777480960. Its totient is φ = 3158633226240.

The previous prime is 12000020011121. The next prime is 12000020011141. The reversal of 12000020011122 is 22111002000021.

It is a junction number, because it is equal to n+sod(n) for n = 12000020011098 and 12000020011107.

It is not an unprimeable number, because it can be changed into a prime (12000020011121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84717654 + ... + 84859182.

It is an arithmetic number, because the mean of its divisors is an integer number (233279511570).

Almost surely, 212000020011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000020011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929888740480).

12000020011122 is an abundant number, since it is smaller than the sum of its proper divisors (17859757469838).

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

12000020011122 is a wasteful number, since it uses less digits than its factorization.

12000020011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147388.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000020011122 its reverse (22111002000021), we get a palindrome (34111022011143).

The spelling of 12000020011122 in words is "twelve trillion, twenty million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 4862 5813 7293 11626 14586 17439 34878 63943 75569 98821 127886 141529 151138 191829 197642 226707 283058 296463 383658 424587 453414 592926 831259 849174 1087031 1284673 1556819 1662518 1839877 2174062 2405993 2493777 2569346 3113638 3261093 3679754 3854019 4670457 4811986 4987554 5519631 6522186 7217979 7708038 9340914 11039262 14131403 14435958 20238647 26465923 28262806 31277909 40477294 42394209 52931846 60715941 62555818 79397769 84788418 93833727 121431882 158795538 187667454 344056999 688113998 822708077 1032170997 1645416154 2064341994 2468124231 4936248462 9049788847 10695205001 13986037309 18099577694 21390410002 27149366541 27972074618 32085615003 41958111927 54298733082 64171230006 83916223854 117647255011 153846410399 181818485017 235294510022 307692820798 352941765033 363636970034 461539231197 545455455051 705883530066 923078462394 1090910910102 2000003335187 4000006670374 6000010005561 12000020011122