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12222210112112 = 24711131973873731
BaseRepresentation
bin1011000111011011010001…
…1111011111101001110000
31121021102122211121101101202
42301312310133133221300
53100222041242041422
641554450015550332
72401011521546660
oct261666437375160
947242584541352
1012222210112112
113992456a80a60
1214548b552b3a8
136a871b248920
143037b56d61a0
15162ddb178b92
hexb1db47dfa70

12222210112112 has 160 divisors (see below), whose sum is σ = 31956243669504. Its totient is φ = 4373286220800.

The previous prime is 12222210112093. The next prime is 12222210112117. The reversal of 12222210112112 is 21121101222221.

It is a super-2 number, since 2×122222101121122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222210112117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218287 + ... + 5092017.

Almost surely, 212222210112112 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 12222210112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978121834752).

12222210112112 is an abundant number, since it is smaller than the sum of its proper divisors (19734033557392).

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

12222210112112 is a wasteful number, since it uses less digits than its factorization.

12222210112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873967 (or 3873961 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12222210112112 its reverse (21121101222221), we get a palindrome (33343311334333).

The spelling of 12222210112112 in words is "twelve trillion, two hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 197 208 286 308 364 394 572 616 728 788 1001 1144 1232 1379 1456 1576 2002 2167 2288 2561 2758 3152 4004 4334 5122 5516 8008 8668 10244 11032 15169 16016 17336 17927 20488 22064 28171 30338 34672 35854 40976 56342 60676 71708 112684 121352 143416 197197 225368 242704 286832 394394 450736 788788 1577576 3155152 3873731 7747462 15494924 27116117 30989848 42611041 50358503 54232234 61979696 85222082 100717006 108464468 170444164 201434012 216928936 298277287 340888328 352509521 402868024 433857872 553943533 596554574 681776656 705019042 763125007 805736048 1107887066 1193109148 1410038084 1526250014 2215774132 2386218296 2820076168 3052500028 3877604731 4431548264 4772436592 5341875049 5640152336 6105000056 7755209462 8394375077 8863096528 9920625091 10683750098 12210000112 15510418924 16788750154 19841250182 21367500196 31020837848 33577500308 39682500364 42735000392 58760625539 62041675696 67155000616 69444375637 79365000728 85470000784 109126876001 117521251078 134310001232 138888751274 158730001456 218253752002 235042502156 277777502548 436507504004 470085004312 555555005096 763888132007 873015008008 940170008624 1111110010192 1527776264014 1746030016016 3055552528028 6111105056056 12222210112112