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12022023213112 = 23111918149979609
BaseRepresentation
bin1010111011110001100001…
…1011000101000000111000
31120120021221110122020200011
42232330120123011000320
53033432100420304422
641322501411551304
72350363641151633
oct256743033050070
946507843566604
1012022023213112
113915569765880
121421b472bb534
136928972ab633
142d7c24882c1a
1515cac15d7077
hexaef186c5038

12022023213112 has 128 divisors (see below), whose sum is σ = 26080236000000. Its totient is φ = 5137964006400.

The previous prime is 12022023213091. The next prime is 12022023213149. The reversal of 12022023213112 is 21131232022021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150973564 + ... + 151053172.

It is an arithmetic number, because the mean of its divisors is an integer number (203751843750).

Almost surely, 212022023213112 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 12022023213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040118000000).

12022023213112 is an abundant number, since it is smaller than the sum of its proper divisors (14058212786888).

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

12022023213112 is a wasteful number, since it uses less digits than its factorization.

12022023213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80325 (or 80321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12022023213112 its reverse (21131232022021), we get a palindrome (33153255235133).

It can be divided in two parts, 120220 and 23213112, that added together give a palindrome (23333332).

The spelling of 12022023213112 in words is "twelve trillion, twenty-two billion, twenty-three million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 181 209 362 418 499 724 836 998 1448 1672 1991 1996 3439 3982 3992 5489 6878 7964 9481 10978 13756 15928 18962 21956 27512 37829 37924 43912 75658 75848 79609 90319 104291 151316 159218 180638 208582 302632 318436 361276 417164 636872 722552 834328 875699 993509 1512571 1716061 1751398 1987018 3025142 3432122 3502796 3974036 6050284 6864244 7005592 7948072 12100568 13728488 14409229 16638281 18876671 28818458 33276562 37753342 39724891 57636916 66553124 75506684 79449782 115273832 133106248 151013368 158501519 158899564 273775351 317003038 317799128 436973801 547550702 634006076 754772929 873947602 1095101404 1268012152 1509545858 1747895204 2190202808 3011528861 3019091716 3495790408 6023057722 6038183432 7190205271 8302502219 12046115444 14380410542 16605004438 24092230888 28760821084 33210008876 57521642168 66420017752 79092257981 136613900149 158184515962 273227800298 316369031924 546455600596 632738063848 1092911201192 1502752901639 3005505803278 6011011606556 12022023213112