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12120211002200 = 2352739839217307
BaseRepresentation
bin1011000001011111010011…
…0111110001001101011000
31120220200101100021201220012
42300113310313301031120
53042034143004032300
641435540441021052
72360441061454460
oct260276467611530
946820340251805
1012120211002200
113953175157004
121438b8a184788
1369bc14514012
142dc89ad6cba0
1516041b6a5435
hexb05f4df1358

12120211002200 has 96 divisors (see below), whose sum is σ = 32206088678400. Its totient is φ = 4155377485440.

The previous prime is 12120211002191. The next prime is 12120211002203. The reversal of 12120211002200 is 220011202121.

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 (12120211002203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55665947 + ... + 55883253.

It is an arithmetic number, because the mean of its divisors is an integer number (335480090400).

Almost surely, 212120211002200 is an apocalyptic number.

12120211002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120211002200 is an abundant number, since it is smaller than the sum of its proper divisors (20085877676200).

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

12120211002200 is a wasteful number, since it uses less digits than its factorization.

12120211002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257169 (or 257160 counting only the distinct ones).

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

Adding to 12120211002200 its reverse (220011202121), we get a palindrome (12340222204321).

The spelling of 12120211002200 in words is "twelve trillion, one hundred twenty billion, two hundred eleven million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 39839 79678 159356 199195 217307 278873 318712 398390 434614 557746 796780 869228 995975 1086535 1115492 1394365 1521149 1593560 1738456 1991950 2173070 2230984 2788730 3042298 3983900 4346140 5432675 5577460 6084596 6971825 7605745 7967800 8692280 10865350 11154920 12169192 13943650 15211490 21730700 27887300 30422980 38028725 43461400 55774600 60845960 76057450 152114900 304229800 8657293573 17314587146 34629174292 43286467865 60601055011 69258348584 86572935730 121202110022 173145871460 216432339325 242404220044 303005275055 346291742920 432864678650 484808440088 606010550110 865729357300 1212021100220 1515026375275 1731458714600 2424042200440 3030052750550 6060105501100 12120211002200