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212001221211200 = 2652433081413099
BaseRepresentation
bin110000001101000001100001…
…011110110111010001000000
31000210122010012121122010012022
4300031001201132313101000
5210241412000112224300
62030520003322221012
762440403615420531
oct6015014136672100
91023563177563168
10212001221211200
1161606238571203
121b93b310054768
13913a82498b735
143a4ccb1894688
1519799892da285
hexc0d0617b7440

212001221211200 has 84 divisors (see below), whose sum is σ = 533787028486800. Its totient is φ = 82828384074240.

The previous prime is 212001221211187. The next prime is 212001221211229. The reversal of 212001221211200 is 2112122100212.

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 11 ways as a sum of consecutive naturals, for example, 1540637750 + ... + 1540775349.

Almost surely, 2212001221211200 is an apocalyptic number.

212001221211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001221211200 is an abundant number, since it is smaller than the sum of its proper divisors (321785807275600).

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

212001221211200 is a wasteful number, since it uses less digits than its factorization.

212001221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081413164 (or 3081413149 counting only the distinct ones).

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

Adding to 212001221211200 its reverse (2112122100212), we get a palindrome (214113343311412).

The spelling of 212001221211200 in words is "two hundred twelve trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 160 172 200 215 320 344 400 430 688 800 860 1075 1376 1600 1720 2150 2752 3440 4300 6880 8600 13760 17200 34400 68800 3081413099 6162826198 12325652396 15407065495 24651304792 30814130990 49302609584 61628261980 77035327475 98605219168 123256523960 132500763257 154070654950 197210438336 246513047920 265001526514 308141309900 493026095840 530003053028 616282619800 662503816285 986052191680 1060006106056 1232565239600 1325007632570 2120012212112 2465130479200 2650015265140 3312519081425 4240024424224 4930260958400 5300030530280 6625038162850 8480048848448 10600061060560 13250076325700 21200122121120 26500152651400 42400244242240 53000305302800 106000610605600 212001221211200