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212021220012200 = 23521060106100061
BaseRepresentation
bin110000001101010100001001…
…100000001111000010101000
31000210201000211100220110201122
4300031110021200033002220
5210242223424310342300
62030533112010034412
762442012324422024
oct6015241140170250
91023630740813648
10212021220012200
1161613770351415
121b943171718a08
13913c6910366b1
143a4dc4b947384
15197a259dbac85
hexc0d50980f0a8

212021220012200 has 24 divisors (see below), whose sum is σ = 492949336528830. Its totient is φ = 84808488004800.

The previous prime is 212021220012163. The next prime is 212021220012209. The reversal of 212021220012200 is 2210022120212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 158943962860804 + 53077257151396 = 12607298^2 + 7285414^2 .

It is not an unprimeable number, because it can be changed into a prime (212021220012209) 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, 530053049831 + ... + 530053050230.

Almost surely, 2212021220012200 is an apocalyptic number.

212021220012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021220012200 is an abundant number, since it is smaller than the sum of its proper divisors (280928116516630).

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

212021220012200 is a wasteful number, since it uses less digits than its factorization.

212021220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060106100077 (or 1060106100068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212021220012200 its reverse (2210022120212), we get a palindrome (214231242132412).

The spelling of 212021220012200 in words is "two hundred twelve trillion, twenty-one billion, two hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1060106100061 2120212200122 4240424400244 5300530500305 8480848800488 10601061000610 21202122001220 26502652501525 42404244002440 53005305003050 106010610006100 212021220012200