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12200112102200 = 2352115915993739
BaseRepresentation
bin1011000110001000111101…
…0110010001101100111000
31121012022121210022011121012
42301202033112101230320
53044341312144232300
641540353142533052
72366300102555051
oct261421726215470
947168553264535
1012200112102200
113984047253050
121450568a37188
136a6608ccbc09
143026ba921728
1516254613a435
hexb188f591b38

12200112102200 has 96 divisors (see below), whose sum is σ = 30944773872000. Its totient is φ = 4436282083200.

The previous prime is 12200112102181. The next prime is 12200112102247. The reversal of 12200112102200 is 220121100221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130102931 + ... + 130196669.

It is an arithmetic number, because the mean of its divisors is an integer number (322341394500).

Almost surely, 212200112102200 is an apocalyptic number.

12200112102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200112102200 is an abundant number, since it is smaller than the sum of its proper divisors (18744661769800).

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

12200112102200 is a wasteful number, since it uses less digits than its factorization.

12200112102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152925 (or 152916 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200112102200 its reverse (220121100221), we get a palindrome (12420233202421).

The spelling of 12200112102200 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 59159 93739 118318 187478 236636 295795 374956 468695 473272 591590 650749 749912 937390 1031129 1183180 1301498 1478975 1874780 2062258 2343475 2366360 2602996 2957950 3253745 3749560 4124516 4686950 5155645 5205992 5915900 6507490 8249032 9373900 10311290 11831800 13014980 16268725 18747800 20622580 25778225 26029960 32537450 41245160 51556450 65074900 103112900 130149800 206225800 5545505501 11091011002 22182022004 27727527505 44364044008 55455055010 61000560511 110910110020 122001121022 138637637525 221820220040 244002242044 277275275050 305002802555 488004484088 554550550100 610005605110 1109101100200 1220011210220 1525014012775 2440022420440 3050028025550 6100056051100 12200112102200