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20011221200 = 2452154932297
BaseRepresentation
bin10010101000110000…
…110000000011010000
31220122121122100211202
4102220300300003100
5311440333034300
613105405530332
71305616400525
oct225060600320
956577570752
1020011221200
1185398a3743
123a658739a8
131b6bb062b9
14d7b9a714c
157c1c35ad5
hex4a8c300d0

20011221200 has 60 divisors (see below), whose sum is σ = 48109485900. Its totient is φ = 7999073280.

The previous prime is 20011221193. The next prime is 20011221239. The reversal of 20011221200 is 212211002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 125708944 + 19885512256 = 11212^2 + 141016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603452 + ... + 635748.

It is an arithmetic number, because the mean of its divisors is an integer number (801824765).

Almost surely, 220011221200 is an apocalyptic number.

20011221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011221200 is an abundant number, since it is smaller than the sum of its proper divisors (28098264700).

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

20011221200 is a wasteful number, since it uses less digits than its factorization.

20011221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33864 (or 33853 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20011221200 its reverse (212211002), we get a palindrome (20223432202).

The spelling of 20011221200 in words is "twenty billion, eleven million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1549 3098 6196 7745 12392 15490 24784 30980 32297 38725 61960 64594 77450 123920 129188 154900 161485 258376 309800 322970 516752 619600 645940 807425 1291880 1614850 2583760 3229700 6459400 12918800 50028053 100056106 200112212 250140265 400224424 500280530 800448848 1000561060 1250701325 2001122120 2501402650 4002244240 5002805300 10005610600 20011221200