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212001221020000 = 255417623533003
BaseRepresentation
bin110000001101000001100001…
…011110001000100101100000
31000210122010012121021101220211
4300031001201132020211200
5210241412000040120000
62030520003314143504
762440403613663226
oct6015014136104540
91023563177241824
10212001221020000
1161606238450595
121b93b30bb81b94
13913a8249226b9
143a4ccb1844b16
15197998929d7ba
hexc0d061788960

212001221020000 has 120 divisors (see below), whose sum is σ = 552234499124616. Its totient is φ = 79812224256000.

The previous prime is 212001221019961. The next prime is 212001221020037. The reversal of 212001221020000 is 20122100212.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 311426502 + ... + 312106501.

Almost surely, 2212001221020000 is an apocalyptic number.

212001221020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001221020000 is an abundant number, since it is smaller than the sum of its proper divisors (340233278104616).

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

212001221020000 is an equidigital number, since it uses as much as digits as its factorization.

212001221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623533050 (or 623533027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212001221020000 its reverse (20122100212), we get a palindrome (212021343120212).

The spelling of 212001221020000 in words is "two hundred twelve trillion, one billion, two hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 4000 4250 5000 6800 8500 10000 10625 13600 17000 20000 21250 34000 42500 68000 85000 170000 340000 623533003 1247066006 2494132012 3117665015 4988264024 6235330030 9976528048 10600061051 12470660060 15588325075 19953056096 21200122102 24941320120 31176650150 42400244204 49882640240 53000305255 62353300300 77941625375 84800488408 99765280480 106000610510 124706600600 155883250750 169600976816 212001221020 249413201200 265001526275 311766501500 339201953632 389708126875 424002442040 498826402400 530003052550 623533003000 779416253750 848004884080 1060006105100 1247066006000 1325007631375 1558832507500 1696009768160 2120012210200 2494132012000 2650015262750 3117665015000 4240024420400 5300030525500 6235330030000 6625038156875 8480048840800 10600061051000 12470660060000 13250076313750 21200122102000 26500152627500 42400244204000 53000305255000 106000610510000 212001221020000