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12000110000 = 24547191669
BaseRepresentation
bin10110010110100001…
…10010010110110000
31010222022022202020112
423023100302112300
5144034012010000
65302432000452
7603242152304
oct131320622660
933868282215
1012000110000
1150a882728a
1223aa990128
1311931a2908
1481ba49d04
154a3793235
hex2cb4325b0

12000110000 has 100 divisors (see below), whose sum is σ = 29111306400. Its totient is φ = 4790496000.

The previous prime is 12000109997. The next prime is 12000110039. The reversal of 12000110000 is 1100021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7189166 + ... + 7190834.

It is an arithmetic number, because the mean of its divisors is an integer number (291113064).

Almost surely, 212000110000 is an apocalyptic number.

12000110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555653200).

12000110000 is an abundant number, since it is smaller than the sum of its proper divisors (17111196400).

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

12000110000 is an equidigital number, since it uses as much as digits as its factorization.

12000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 12000110000 its reverse (1100021), we get a palindrome (12001210021).

The spelling of 12000110000 in words is "twelve billion, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 719 1000 1250 1438 1669 2000 2500 2876 3338 3595 5000 5752 6676 7190 8345 10000 11504 13352 14380 16690 17975 26704 28760 33380 35950 41725 57520 66760 71900 83450 89875 133520 143800 166900 179750 208625 287600 333800 359500 417250 449375 667600 719000 834500 898750 1043125 1200011 1438000 1669000 1797500 2086250 2400022 3338000 3595000 4172500 4800044 6000055 7190000 8345000 9600088 12000110 16690000 19200176 24000220 30000275 48000440 60000550 96000880 120001100 150001375 240002200 300002750 480004400 600005500 750006875 1200011000 1500013750 2400022000 3000027500 6000055000 12000110000