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12022222112 = 2517711072909
BaseRepresentation
bin10110011001001010…
…01000110100100000
31011000211221011100122
423030211020310200
5144110142101422
65304541535412
7603631126145
oct131445106440
934024834318
1012022222112
11510a25a45a
1223b6274568
1311979454c4
148209643cc
154a56aed42
hex2cc948d20

12022222112 has 96 divisors (see below), whose sum is σ = 25660333440. Its totient is φ = 5523804160.

The previous prime is 12022222111. The next prime is 12022222181. The reversal of 12022222112 is 21122222021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12022222111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4131314 + ... + 4134222.

It is an arithmetic number, because the mean of its divisors is an integer number (267295140).

Almost surely, 212022222112 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 12022222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830166720).

12022222112 is an abundant number, since it is smaller than the sum of its proper divisors (13638111328).

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

12022222112 is a wasteful number, since it uses less digits than its factorization.

12022222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12022222112 its reverse (21122222021), we get a palindrome (33144444133).

Subtracting 12022222112 from its reverse (21122222021), we obtain a palindrome (9099999909).

The spelling of 12022222112 in words is "twelve billion, twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 71 107 136 142 214 272 284 428 544 568 856 1136 1207 1712 1819 2272 2414 2909 3424 3638 4828 5818 7276 7597 9656 11636 14552 15194 19312 23272 29104 30388 38624 46544 49453 58208 60776 93088 98906 121552 129149 197812 206539 243104 258298 311263 395624 413078 516596 622526 791248 826156 1033192 1245052 1582496 1652312 2066384 2490104 3304624 3511163 4132768 4980208 5291471 6609248 7022326 9960416 10582942 14044652 21165884 22099673 28089304 42331768 44199346 56178608 84663536 88398692 112357216 169327072 176797384 353594768 375694441 707189536 751388882 1502777764 3005555528 6011111056 12022222112