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12201112012200 = 23352149136477763
BaseRepresentation
bin1011000110001100101011…
…1100101000010110101000
31121012102012110210212020220
42301203022330220112220
53044400334133342300
641541040302250040
72366333633632416
oct261431274502650
947172173725226
1012201112012200
11398450a715251
1214507a7886920
136a6738207137
143027736482b6
151625a3ceeda0
hexb18caf285a8

12201112012200 has 96 divisors (see below), whose sum is σ = 38077296156000. Its totient is φ = 3231793404160.

The previous prime is 12201112012121. The next prime is 12201112012207. The reversal of 12201112012200 is 221021110221.

It is a super-2 number, since 2×122011120122002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201112012200.

It is not an unprimeable number, because it can be changed into a prime (12201112012207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68149482 + ... + 68328281.

It is an arithmetic number, because the mean of its divisors is an integer number (396638501625).

Almost surely, 212201112012200 is an apocalyptic number.

12201112012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201112012200 is an abundant number, since it is smaller than the sum of its proper divisors (25876184143800).

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

12201112012200 is a wasteful number, since it uses less digits than its factorization.

12201112012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136477931 (or 136477922 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201112012200 its reverse (221021110221), we get a palindrome (12422133122421).

The spelling of 12201112012200 in words is "twelve trillion, two hundred one billion, one hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 149 150 200 298 300 447 596 600 745 894 1192 1490 1788 2235 2980 3576 3725 4470 5960 7450 8940 11175 14900 17880 22350 29800 44700 89400 136477763 272955526 409433289 545911052 682388815 818866578 1091822104 1364777630 1637733156 2047166445 2729555260 3275466312 3411944075 4094332890 5459110520 6823888150 8188665780 10235832225 13647776300 16377331560 20335186687 20471664450 27295552600 40670373374 40943328900 61005560061 81340746748 81886657800 101675933435 122011120122 162681493496 203351866870 244022240244 305027800305 406703733740 488044480488 508379667175 610055600610 813407467480 1016759334350 1220111201220 1525139001525 2033518668700 2440222402440 3050278003050 4067037337400 6100556006100 12201112012200