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12031100211200 = 21252716784459
BaseRepresentation
bin1010111100010011010101…
…1101000101000000000000
31120121011101001121112012112
42233010311131011000000
53034104143123224300
641331002223314452
72351134610314130
oct257046535050000
946534331545175
1012031100211200
1139193a7467894
12142385b14ba28
136936b29aa815
142d84461bcac0
1515ce53422e35
hexaf135745000

12031100211200 has 156 divisors (see below), whose sum is σ = 34095414941280. Its totient is φ = 4124948398080.

The previous prime is 12031100211199. The next prime is 12031100211257. The reversal of 12031100211200 is 211200113021.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7675430 + ... + 9109029.

Almost surely, 212031100211200 is an apocalyptic number.

12031100211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031100211200 is an abundant number, since it is smaller than the sum of its proper divisors (22064314730080).

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

12031100211200 is an equidigital number, since it uses as much as digits as its factorization.

12031100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16784500 (or 16784473 counting only the distinct ones).

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

Adding to 12031100211200 its reverse (211200113021), we get a palindrome (12242300324221).

The spelling of 12031100211200 in words is "twelve trillion, thirty-one billion, one hundred million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2048 2240 2560 2800 3200 3584 4096 4480 5120 5600 6400 7168 8960 10240 11200 12800 14336 17920 20480 22400 25600 28672 35840 44800 51200 71680 89600 102400 143360 179200 358400 716800 16784459 33568918 67137836 83922295 117491213 134275672 167844590 234982426 268551344 335689180 419611475 469964852 537102688 587456065 671378360 839222950 939929704 1074205376 1174912130 1342756720 1678445900 1879859408 2148410752 2349824260 2685513440 2937280325 3356891800 3759718816 4296821504 4699648520 5371026880 5874560650 6713783600 7519437632 8593643008 9399297040 10742053760 11749121300 13427567200 15038875264 17187286016 18798594080 21484107520 23498242600 26855134400 30077750528 34374572032 37597188160 42968215040 46996485200 53710268800 60155501056 68749144064 75194376320 85936430080 93992970400 107420537600 120311002112 150388752640 171872860160 187985940800 214841075200 240622004224 300777505280 343745720320 375971881600 429682150400 481244008448 601555010560 751943763200 859364300800 1203110021120 1503887526400 1718728601600 2406220042240 3007775052800 6015550105600 12031100211200