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12200220222112 = 2513672571703203
BaseRepresentation
bin1011000110001001010111…
…0010101110001010100000
31121012022220022202020020101
42301202111302232022200
53044342022334101422
641540412004152144
72366302554556336
oct261422562561240
947168808666211
1012200220222112
1139840a229014a
121450599098654
136a66255265b0
143026cb027b56
15162550895c27
hexb1895cae2a0

12200220222112 has 96 divisors (see below), whose sum is σ = 26355051680832. Its totient is φ = 5525241790464.

The previous prime is 12200220222107. The next prime is 12200220222167. The reversal of 12200220222112 is 21122202200221.

It is a super-2 number, since 2×122002202221122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12200220222112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6311503 + ... + 8014705.

It is an arithmetic number, because the mean of its divisors is an integer number (274531788342).

Almost surely, 212200220222112 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 12200220222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177525840416).

12200220222112 is an abundant number, since it is smaller than the sum of its proper divisors (14154831458720).

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

12200220222112 is a wasteful number, since it uses less digits than its factorization.

12200220222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703550 (or 1703542 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12200220222112 its reverse (21122202200221), we get a palindrome (33322422422333).

The spelling of 12200220222112 in words is "twelve trillion, two hundred billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 257 268 416 514 536 871 1028 1072 1742 2056 2144 3341 3484 4112 6682 6968 8224 13364 13936 17219 26728 27872 34438 53456 68876 106912 137752 223847 275504 447694 551008 895388 1703203 1790776 3406406 3581552 6812812 7163104 13625624 22141639 27251248 44283278 54502496 88566556 114114601 177133112 228229202 354266224 437723171 456458404 708532448 875446342 912916808 1483489813 1750892684 1825833616 2966979626 3501785368 3651667232 5690401223 5933959252 7003570736 11380802446 11867918504 14007141472 22761604892 23735837008 29327452457 45523209784 47471674016 58654904914 91046419568 117309809828 182092839136 234619619656 381256881941 469239239312 762513763882 938478478624 1525027527764 3050055055528 6100110111056 12200220222112