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12002110112200 = 2352138951867373
BaseRepresentation
bin1010111010100111010110…
…0000101000000111001000
31120111101112200121220120011
42232221311200220013020
53033120310142042300
641305405425041304
72346060322454065
oct256516540500710
946441480556504
1012002110112200
11390808029a38a
12141a10a486234
13690a4290b3a0
142d6c95d3bc6c
1515c3082d3eba
hexaea758281c8

12002110112200 has 96 divisors (see below), whose sum is σ = 30389094426600. Its totient is φ = 4381755586560.

The previous prime is 12002110112197. The next prime is 12002110112269. The reversal of 12002110112200 is 221101120021.

It can be written as a sum of positive squares in 12 ways, for example, as 731089981444 + 11271020130756 = 855038^2 + 3357234^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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 23 ways as a sum of consecutive naturals, for example, 25702287 + ... + 26165086.

Almost surely, 212002110112200 is an apocalyptic number.

12002110112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002110112200 is an abundant number, since it is smaller than the sum of its proper divisors (18386984314400).

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

12002110112200 is a wasteful number, since it uses less digits than its factorization.

12002110112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51867491 (or 51867482 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12002110112200 its reverse (221101120021), we get a palindrome (12223211232221).

The spelling of 12002110112200 in words is "twelve trillion, two billion, one hundred ten million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 89 100 104 130 178 200 260 325 356 445 520 650 712 890 1157 1300 1780 2225 2314 2600 3560 4450 4628 5785 8900 9256 11570 17800 23140 28925 46280 57850 115700 231400 51867373 103734746 207469492 259336865 414938984 518673730 674275849 1037347460 1296684325 1348551698 2074694920 2593368650 2697103396 3371379245 4616196197 5186737300 5394206792 6742758490 9232392394 10373474600 13485516980 16856896225 18464784788 23080980985 26971033960 33713792450 36929569576 46161961970 60010550561 67427584900 92323923940 115404904925 120021101122 134855169800 184647847880 230809809850 240042202244 300052752805 461619619700 480084404488 600105505610 923239239400 1200211011220 1500263764025 2400422022440 3000527528050 6001055056100 12002110112200