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12122112120200 = 2352109556060189
BaseRepresentation
bin1011000001100110011000…
…1011111101010110001000
31120220212021211120112111222
42300121212023331112020
53042102041200321300
641440453232341212
72360536144631525
oct260314613752610
946825254515458
1012122112120200
113953a602a6105
12143941a9a4808
1369c158349704
142dc9db64814c
151604cd534785
hexb06662fd588

12122112120200 has 48 divisors (see below), whose sum is σ = 28442478718500. Its totient is φ = 4804360024320.

The previous prime is 12122112120193. The next prime is 12122112120203. The reversal of 12122112120200 is 202121122121.

It can be written as a sum of positive squares in 6 ways, for example, as 1515769719556 + 10606342400644 = 1231166^2 + 3256738^2 .

It is not an unprimeable number, because it can be changed into a prime (12122112120203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278008295 + ... + 278051894.

Almost surely, 212122112120200 is an apocalyptic number.

12122112120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122112120200 is an abundant number, since it is smaller than the sum of its proper divisors (16320366598300).

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

12122112120200 is a wasteful number, since it uses less digits than its factorization.

12122112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556060314 (or 556060305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12122112120200 its reverse (202121122121), we get a palindrome (12324233242321).

The spelling of 12122112120200 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 556060189 1112120378 2224240756 2780300945 4448481512 5560601890 11121203780 13901504725 22242407560 27803009450 55606018900 60610560601 111212037800 121221121202 242442242404 303052803005 484884484808 606105606010 1212211212020 1515264015025 2424422424040 3030528030050 6061056060100 12122112120200