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21220012010000 = 24542122001201
BaseRepresentation
bin1001101001100101010110…
…10001110010101000010000
32210010121120010022001111202
410310302223101302220100
510240132041033310000
6113044201113330332
74320044452012256
oct464625321625020
983117503261452
1021220012010000
1168413a1636471
1224686b71069a8
13bac0668bca7b
145350a84b65d6
1526beab8b0dd5
hex134cab472a10

21220012010000 has 50 divisors (see below), whose sum is σ = 51375771101622. Its totient is φ = 8488004800000.

The previous prime is 21220012009997. The next prime is 21220012010023. The reversal of 21220012010000 is 1021002212.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 11486785094656 + 9733226915344 = 3389216^2 + 3119812^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1060990601 + ... + 1061010600.

Almost surely, 221220012010000 is an apocalyptic number.

21220012010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220012010000 is an abundant number, since it is smaller than the sum of its proper divisors (30155759091622).

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

21220012010000 is an equidigital number, since it uses as much as digits as its factorization.

21220012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122001229 (or 2122001208 counting only the distinct ones).

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

Adding to 21220012010000 its reverse (1021002212), we get a palindrome (21221033012212).

The spelling of 21220012010000 in words is "twenty-one trillion, two hundred twenty billion, twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2122001201 4244002402 8488004804 10610006005 16976009608 21220012010 33952019216 42440024020 53050030025 84880048040 106100060050 169760096080 212200120100 265250150125 424400240200 530500300250 848800480400 1061000600500 1326250750625 2122001201000 2652501501250 4244002402000 5305003002500 10610006005000 21220012010000