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12111222200 = 23527211112349
BaseRepresentation
bin10110100011110001…
…01001010110111000
31011021001101211112012
423101320221112320
5144300433102300
65321441305052
7606061455500
oct132170512670
934231354465
1012111222200
115155518550
122420035188
1311b020728c
1482c6d0a00
154ad3e0435
hex2d1e295b8

12111222200 has 144 divisors (see below), whose sum is σ = 35734041000. Its totient is φ = 3774892800.

The previous prime is 12111222199. The next prime is 12111222209. The reversal of 12111222200 is 222211121.

12111222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111222209) 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 35 ways as a sum of consecutive naturals, for example, 51626 + ... + 163974.

Almost surely, 212111222200 is an apocalyptic number.

12111222200 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 12111222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867020500).

12111222200 is an abundant number, since it is smaller than the sum of its proper divisors (23622818800).

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

12111222200 is a wasteful number, since it uses less digits than its factorization.

12111222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112390 (or 112374 counting only the distinct ones).

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

Adding to 12111222200 its reverse (222211121), we get a palindrome (12333433321).

The spelling of 12111222200 in words is "twelve billion, one hundred eleven million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 21560 26950 53900 107800 112349 224698 449396 561745 786443 898792 1123490 1235839 1572886 2246980 2471678 2808725 3145772 3932215 4493960 4943356 5505101 5617450 6179195 6291544 7864430 8650873 9886712 11010202 11234900 12358390 15728860 17301746 19661075 22020404 22469800 24716780 27525505 30895975 31457720 34603492 39322150 43254365 44040808 49433560 55051010 60556111 61791950 69206984 78644300 86508730 110102020 121112222 123583900 137627525 157288600 173017460 216271825 220204040 242224444 247167800 275255050 302780555 346034920 432543650 484448888 550510100 605561110 865087300 1101020200 1211122220 1513902775 1730174600 2422244440 3027805550 6055611100 12111222200