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20021200211200 = 28523128312533
BaseRepresentation
bin1001000110101100011001…
…00001101100110100000000
32121220000012212101211011011
410203112030201230310000
510111011404223224300
6110325340140130304
74134325001603536
oct443261441546400
977800185354134
1020021200211200
116419a41627541
1222b42ab536994
13b22cb6527cc6
144d3061aca156
1524abe617eeba
hex12358c86cd00

20021200211200 has 54 divisors (see below), whose sum is σ = 49555598851094. Its totient is φ = 8008480081920.

The previous prime is 20021200211101. The next prime is 20021200211209. The reversal of 20021200211200 is 211200212002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2681104958464 + 17340095252736 = 1637408^2 + 4164144^2 .

It is a super-4 number, since 4×200212002112004 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021200211209) by changing a digit.

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, 1564149867 + ... + 1564162666.

Almost surely, 220021200211200 is an apocalyptic number.

20021200211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021200211200 is an abundant number, since it is smaller than the sum of its proper divisors (29534398639894).

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

20021200211200 is an equidigital number, since it uses as much as digits as its factorization.

20021200211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128312559 (or 3128312540 counting only the distinct ones).

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

Adding to 20021200211200 its reverse (211200212002), we get a palindrome (20232400423202).

The spelling of 20021200211200 in words is "twenty trillion, twenty-one billion, two hundred million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 3128312533 6256625066 12513250132 15641562665 25026500264 31283125330 50053000528 62566250660 78207813325 100106001056 125132501320 156415626650 200212002112 250265002640 312831253300 400424004224 500530005280 625662506600 800848008448 1001060010560 1251325013200 2002120021120 2502650026400 4004240042240 5005300052800 10010600105600 20021200211200