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212112001202200 = 235211253013810701
BaseRepresentation
bin110000001110101000101100…
…011110111111100000011000
31000211000201011001201202001221
4300032220230132333200120
5210300220334301432300
62031042524054021424
762451405061000321
oct6016505436774030
91024021131652057
10212112001202200
1161649215a26080
121b958888047874
1391480ca953c78
143a543c04b5448
15197c7beb0631a
hexc0ea2c7bf818

212112001202200 has 96 divisors (see below), whose sum is σ = 538014571582320. Its totient is φ = 77128568000000.

The previous prime is 212112001202141. The next prime is 212112001202207. The reversal of 212112001202200 is 2202100211212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112001202207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53756850 + ... + 57567550.

Almost surely, 2212112001202200 is an apocalyptic number.

212112001202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112001202200 is an abundant number, since it is smaller than the sum of its proper divisors (325902570380120).

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

212112001202200 is a wasteful number, since it uses less digits than its factorization.

212112001202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836029 (or 3836020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212112001202200 its reverse (2202100211212), we get a palindrome (214314101413412).

The spelling of 212112001202200 in words is "two hundred twelve trillion, one hundred twelve billion, one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 25301 50602 101204 126505 202408 253010 278311 506020 556622 632525 1012040 1113244 1265050 1391555 2226488 2530100 2783110 3810701 5060200 5566220 6957775 7621402 11132440 13915550 15242804 19053505 27831100 30485608 38107010 41917711 55662200 76214020 83835422 95267525 152428040 167670844 190535050 209588555 335341688 381070100 419177110 762140200 838354220 1047942775 1676708440 2095885550 4191771100 8383542200 96414546001 192829092002 385658184004 482072730005 771316368008 964145460010 1060560006011 1928290920020 2121120012022 2410363650025 3856581840040 4242240024044 4820727300050 5302800030055 8484480048088 9641454600100 10605600060110 19282909200200 21211200120220 26514000150275 42422400240440 53028000300550 106056000601100 212112001202200