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212012122112002 = 21727767379741969
BaseRepresentation
bin110000001101001011101011…
…001110100000000000000010
31000210200011100022121020220001
4300031023223032200000002
5210242101311230041002
62030525005130310214
762441241012512452
oct6015135316400002
91023604308536801
10212012122112002
116160a921873333
121b94145288836a
13913b8711c95b4
143a4d627529d62
151979dc6301a87
hexc0d2eb3a0002

212012122112002 has 64 divisors (see below), whose sum is σ = 338875610381280. Its totient is φ = 99135608979456.

The previous prime is 212012122111943. The next prime is 212012122112017. The reversal of 212012122112002 is 200211221210212.

It can be written as a sum of positive squares in 16 ways, for example, as 9628180790761 + 202383941321241 = 3102931^2 + 14226171^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5051615274 + ... + 5051657242.

Almost surely, 2212012122112002 is an apocalyptic number.

212012122112002 is a deficient number, since it is larger than the sum of its proper divisors (126863488269278).

212012122112002 is a wasteful number, since it uses less digits than its factorization.

212012122112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43735.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212012122112002 its reverse (200211221210212), we get a palindrome (412223343322214).

The spelling of 212012122112002 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-two million, one hundred twelve thousand, two".

Divisors: 1 2 17 34 277 554 673 797 1346 1594 4709 9418 11441 13549 22882 27098 41969 83938 186421 220769 372842 441538 536381 713473 1072762 1426946 3169157 3753073 6338314 7506146 9118477 11625413 18236954 23250826 28245137 33449293 56490274 66898586 148577537 197632021 297155074 395264042 480167329 568637981 960334658 1137275962 2525818129 5051636258 7823902949 9265454161 15647805898 18530908322 22511374189 45022748378 133006350133 157512720737 266012700266 315025441474 382693361213 765386722426 6235650650353 12471301300706 106006061056001 212012122112002