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212332121200200 = 23352415985089413
BaseRepresentation
bin110000010001110101101100…
…101010001001011001001000
31000211210202022121100020010110
4300101311230222021121020
5210312322141011401300
62031332010241314320
762503326622053531
oct6021655452113110
91024722277306113
10212332121200200
1161723601a265a1
121b9934799359a0
139162aaa473ab1
143a60d02797688
1519833a45eb550
hexc11d6ca89648

212332121200200 has 96 divisors (see below), whose sum is σ = 658387849766400. Its totient is φ = 56608284015360.

The previous prime is 212332121200193. The next prime is 212332121200253. The reversal of 212332121200200 is 2002121233212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40049307 + ... + 45040106.

It is an arithmetic number, because the mean of its divisors is an integer number (6858206768400).

Almost surely, 2212332121200200 is an apocalyptic number.

212332121200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212332121200200 is an abundant number, since it is smaller than the sum of its proper divisors (446055728566200).

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

212332121200200 is a wasteful number, since it uses less digits than its factorization.

212332121200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85093591 (or 85093582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212332121200200 its reverse (2002121233212), we get a palindrome (214334242433412).

The spelling of 212332121200200 in words is "two hundred twelve trillion, three hundred thirty-two billion, one hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4159 8318 12477 16636 20795 24954 33272 41590 49908 62385 83180 99816 103975 124770 166360 207950 249540 311925 415900 499080 623850 831800 1247700 2495400 85089413 170178826 255268239 340357652 425447065 510536478 680715304 850894130 1021072956 1276341195 1701788260 2042145912 2127235325 2552682390 3403576520 4254470650 5105364780 6381705975 8508941300 10210729560 12763411950 17017882600 25526823900 51053647800 353886868667 707773737334 1061660606001 1415547474668 1769434343335 2123321212002 2831094949336 3538868686670 4246642424004 5308303030005 7077737373340 8493284848008 8847171716675 10616606060010 14155474746680 17694343433350 21233212120020 26541515150025 35388686866700 42466424240040 53083030300050 70777373733400 106166060600100 212332121200200