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212120021200 = 2452530300053
BaseRepresentation
bin1100010110001101010…
…1101010100011010000
3202021112000020112222111
43011203111222203100
511433410211134300
6241240244115104
721216350300533
oct3054325524320
9667460215874
10212120021200
1181a6124954a
123513a695a94
13170062b7459
14a3a3a22a1a
1557b75019ba
hex316356a8d0

212120021200 has 30 divisors (see below), whose sum is σ = 509618351894. Its totient is φ = 84848008320.

The previous prime is 212120021159. The next prime is 212120021273. The reversal of 212120021200 is 2120021212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26193480336 + 185926540864 = 161844^2 + 431192^2 .

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 5 ways as a sum of consecutive naturals, for example, 265149627 + ... + 265150426.

Almost surely, 2212120021200 is an apocalyptic number.

212120021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120021200 is an abundant number, since it is smaller than the sum of its proper divisors (297498330694).

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

212120021200 is a wasteful number, since it uses less digits than its factorization.

212120021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530300071 (or 530300060 counting only the distinct ones).

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

Adding to 212120021200 its reverse (2120021212), we get a palindrome (214240042412).

The spelling of 212120021200 in words is "two hundred twelve billion, one hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 530300053 1060600106 2121200212 2651500265 4242400424 5303000530 8484800848 10606001060 13257501325 21212002120 26515002650 42424004240 53030005300 106060010600 212120021200