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12212011221200 = 245272623061797
BaseRepresentation
bin1011000110110101010010…
…0101110100000011010000
31121020110100001121001020022
42301231110211310003100
53100040144333034300
641550042010203012
72400201010450100
oct261552445640320
947213301531208
1012212011221200
1139890a2a7129a
121452929a23468
136a77842a1c2b
143030c8d9d200
151629e0ad0285
hexb1b549740d0

12212011221200 has 90 divisors (see below), whose sum is σ = 34129456109046. Its totient is φ = 4186975269120.

The previous prime is 12212011221181. The next prime is 12212011221229. The reversal of 12212011221200 is 212211021221.

It can be written as a sum of positive squares in 3 ways, for example, as 80499308176 + 12131511913024 = 283724^2 + 3483032^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 311511299 + ... + 311550498.

Almost surely, 212212011221200 is an apocalyptic number.

12212011221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212011221200 is an abundant number, since it is smaller than the sum of its proper divisors (21917444887846).

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

12212011221200 is a wasteful number, since it uses less digits than its factorization.

12212011221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623061829 (or 623061811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12212011221200 its reverse (212211021221), we get a palindrome (12424222242421).

The spelling of 12212011221200 in words is "twelve trillion, two hundred twelve billion, eleven million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 623061797 1246123594 2492247188 3115308985 4361432579 4984494376 6230617970 8722865158 9968988752 12461235940 15576544925 17445730316 21807162895 24922471880 30530028053 31153089850 34891460632 43614325790 49844943760 61060056106 62306179700 69782921264 87228651580 109035814475 122120112212 124612359400 152650140265 174457303160 218071628950 244240224424 249224718800 305300280530 348914606320 436143257900 488480448848 610600561060 763250701325 872286515800 1221201122120 1526501402650 1744573031600 2442402244240 3053002805300 6106005610600 12212011221200