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212000122012010 = 251973732221129901
BaseRepresentation
bin110000001101000000011111…
…111101110000000101101010
31000210122000101000022000101012
4300031000133331300011222
5210241402222213341020
62030515302254423522
762440334440401263
oct6015003775600552
91023560330260335
10212000122012010
1161605824053622
121b93b063b01ba2
13913a6ab02b407
143a4cc098c396a
151979922a617c5
hexc0d01ff7016a

212000122012010 has 64 divisors (see below), whose sum is σ = 384741638148384. Its totient is φ = 84104866944000.

The previous prime is 212000122012009. The next prime is 212000122012069. The reversal of 212000122012010 is 10210221000212.

It can be written as a sum of positive squares in 16 ways, for example, as 129328911610369 + 82671210401641 = 11372287^2 + 9092371^2 .

It is a super-3 number, since 3×2120001220120103 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631948060 + ... + 1632077960.

Almost surely, 2212000122012010 is an apocalyptic number.

212000122012010 is a deficient number, since it is larger than the sum of its proper divisors (172741516136374).

212000122012010 is a wasteful number, since it uses less digits than its factorization.

212000122012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132699.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212000122012010 its reverse (10210221000212), we get a palindrome (222210343012222).

The spelling of 212000122012010 in words is "two hundred twelve trillion, one hundred twenty-two million, twelve thousand, ten".

Divisors: 1 2 5 10 197 373 394 746 985 1865 1970 2221 3730 4442 11105 22210 73481 129901 146962 259802 367405 437537 649505 734810 828433 875074 1299010 1656866 2187685 4142165 4375370 8284330 25590497 48453073 51180994 96906146 127952485 163201301 242265365 255904970 288510121 326402602 484530730 577020242 816006505 1442550605 1632013010 2885101210 9545255381 19090510762 47726276905 56836493837 95452553810 107614275133 113672987674 215228550266 284182469185 538071375665 568364938370 1076142751330 21200012201201 42400024402402 106000061006005 212000122012010