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12111212300 = 225211431072393
BaseRepresentation
bin10110100011110001…
…00110111100001100
31011021001101022221112
423101320212330030
5144300432243200
65321441151152
7606061414565
oct132170467414
934231338845
1012111212300
115155511070
12242002b4b8
1311b0202915
1482c6cb16c
154ad3dc535
hex2d1e26f0c

12111212300 has 144 divisors (see below), whose sum is σ = 29623853952. Its totient is φ = 4259673600.

The previous prime is 12111212221. The next prime is 12111212303. The reversal of 12111212300 is 321211121.

12111212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12111212303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5059904 + ... + 5062296.

It is an arithmetic number, because the mean of its divisors is an integer number (205721208).

Almost surely, 212111212300 is an apocalyptic number.

12111212300 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 12111212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811926976).

12111212300 is an abundant number, since it is smaller than the sum of its proper divisors (17512641652).

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

12111212300 is a wasteful number, since it uses less digits than its factorization.

12111212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12111212300 its reverse (321211121), we get a palindrome (12432423421).

The spelling of 12111212300 in words is "twelve billion, one hundred eleven million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 107 110 172 214 215 220 275 428 430 473 535 550 860 946 1070 1075 1100 1177 1892 2140 2150 2354 2365 2393 2675 4300 4601 4708 4730 4786 5350 5885 9202 9460 9572 10700 11770 11825 11965 18404 23005 23540 23650 23930 26323 29425 46010 47300 47860 50611 52646 58850 59825 92020 101222 102899 105292 115025 117700 119650 131615 202444 205798 230050 239300 253055 256051 263230 411596 460100 506110 512102 514495 526460 658075 1012220 1024204 1028990 1131889 1265275 1280255 1316150 2057980 2263778 2530550 2560510 2572475 2632300 2816561 4527556 5061100 5121020 5144950 5633122 5659445 6401275 10289900 11010193 11266244 11318890 12802550 14082805 22020386 22637780 25605100 28165610 28297225 44040772 55050965 56331220 56594450 70414025 110101930 113188900 121112123 140828050 220203860 242224246 275254825 281656100 484448492 550509650 605560615 1101019300 1211121230 2422242460 3027803075 6055606150 12111212300