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21200121212000 = 255341912649237
BaseRepresentation
bin1001101001000000010011…
…01100011010110001100000
32210001201012220020211020112
410310200021230122301200
510234320322012241000
6113031111244430452
74315441524014453
oct464401154326140
983051186224215
1021200121212000
116833a14813535
122464885848428
13baa216a2b203
1453413c8d949a
1526b6e5516235
hex134809b1ac60

21200121212000 has 96 divisors (see below), whose sum is σ = 52213018646880. Its totient is φ = 8459809036800.

The previous prime is 21200121211987. The next prime is 21200121212027. The reversal of 21200121212000 is 21212100212.

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 15 ways as a sum of consecutive naturals, for example, 4648619 + ... + 8000618.

It is an arithmetic number, because the mean of its divisors is an integer number (543885610905).

Almost surely, 221200121212000 is an apocalyptic number.

21200121212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200121212000 is an abundant number, since it is smaller than the sum of its proper divisors (31012897434880).

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

21200121212000 is a wasteful number, since it uses less digits than its factorization.

21200121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12649681 (or 12649663 counting only the distinct ones).

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

Adding to 21200121212000 its reverse (21212100212), we get a palindrome (21221333312212).

The spelling of 21200121212000 in words is "twenty-one trillion, two hundred billion, one hundred twenty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 419 500 800 838 1000 1676 2000 2095 3352 4000 4190 6704 8380 10475 13408 16760 20950 33520 41900 52375 67040 83800 104750 167600 209500 335200 419000 838000 1676000 12649237 25298474 50596948 63246185 101193896 126492370 202387792 252984740 316230925 404775584 505969480 632461850 1011938960 1264923700 1581154625 2023877920 2529847400 3162309250 5059694800 5300030303 6324618500 10119389600 10600060606 12649237000 21200121212 25298474000 26500151515 42400242424 50596948000 53000303030 84800484848 106000606060 132500757575 169600969696 212001212120 265001515150 424002424240 530003030300 662503787875 848004848480 1060006060600 1325007575750 2120012121200 2650015151500 4240024242400 5300030303000 10600060606000 21200121212000