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12022040142224 = 2472326368325981
BaseRepresentation
bin1010111011110001100101…
…1011101010000110010000
31120120021222122111100001022
42232330121123222012100
53033432114234022344
641322503214455012
72350364235100640
oct256743133520620
946507878440038
1012022040142224
113915578278982
121421b50b04468
1369289a958068
142d7c26c0c520
1515cac2d2d0ee
hexaef196ea190

12022040142224 has 160 divisors (see below), whose sum is σ = 27925150961664. Its totient is φ = 4902174097920.

The previous prime is 12022040142139. The next prime is 12022040142269. The reversal of 12022040142224 is 42224104022021.

12022040142224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12022040142193 and 12022040142202.

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, 462711314 + ... + 462737294.

Almost surely, 212022040142224 is an apocalyptic number.

12022040142224 is a gapful number since it is divisible by the number (14) 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 12022040142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962575480832).

12022040142224 is an abundant number, since it is smaller than the sum of its proper divisors (15903110819440).

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

12022040142224 is a wasteful number, since it uses less digits than its factorization.

12022040142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26965 (or 26959 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12022040142224 its reverse (42224104022021), we get a palindrome (54246144164245).

The spelling of 12022040142224 in words is "twelve trillion, twenty-two billion, forty million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 263 322 368 526 644 683 1052 1288 1366 1841 2104 2576 2732 3682 4208 4781 5464 6049 7364 9562 10928 12098 14728 15709 19124 24196 25981 29456 31418 38248 42343 48392 51962 62836 76496 84686 96784 103924 109963 125672 169372 179629 181867 207848 219926 251344 338744 359258 363734 415696 439852 597563 677488 718516 727468 879704 1195126 1257403 1437032 1454936 1759408 2390252 2514806 2874064 2909872 4131467 4182941 4780504 5029612 6833003 8262934 8365882 9561008 10059224 13666006 16525868 16731764 17745023 20118448 27332012 28920269 33051736 33463528 35490046 47831021 54664024 57840538 66103472 66927056 70980092 95662042 109328048 115681076 124215161 141960184 157159069 191324084 231362152 248430322 283920368 314318138 382648168 408135529 462724304 496860644 628636276 765296336 816271058 993721288 1100113483 1257272552 1632542116 1987442576 2200226966 2514545104 2856948703 3265084232 4400453932 4666941049 5713897406 6530168464 8800907864 9333882098 11427794812 17601815728 18667764196 22855589624 32668587343 37335528392 45711179248 65337174686 74671056784 107339644127 130674349372 214679288254 261348698744 429358576508 522697397488 751377508889 858717153016 1502755017778 1717434306032 3005510035556 6011020071112 12022040142224