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212000122012021 = 7317981312240601
BaseRepresentation
bin110000001101000000011111…
…111101110000000101110101
31000210122000101000022000101121
4300031000133331300011311
5210241402222213341041
62030515302254423541
762440334440401310
oct6015003775600565
91023560330260347
10212000122012021
1161605824053632
121b93b063b01bb1
13913a6ab02b415
143a4cc098c3977
151979922a617d1
hexc0d01ff70175

212000122012021 has 16 divisors (see below), whose sum is σ = 250104680455168. Its totient is φ = 175850418096000.

The previous prime is 212000122012009. The next prime is 212000122012069. The reversal of 212000122012021 is 120210221000212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212000122012021 - 27 = 212000122011893 is a prime.

It is a super-3 number, since 3×2120001220120213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212000122011986 and 212000122012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000122012121) 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 15 ways as a sum of consecutive naturals, for example, 11199121 + ... + 23439721.

It is an arithmetic number, because the mean of its divisors is an integer number (15631542528448).

Almost surely, 2212000122012021 is an apocalyptic number.

It is an amenable number.

212000122012021 is a deficient number, since it is larger than the sum of its proper divisors (38104558443147).

212000122012021 is a wasteful number, since it uses less digits than its factorization.

212000122012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320452.

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

Adding to 212000122012021 its reverse (120210221000212), we get a palindrome (332210343012233).

The spelling of 212000122012021 in words is "two hundred twelve trillion, one hundred twenty-two million, twelve thousand, twenty-one".

Divisors: 1 7 31 217 79813 558691 2474203 12240601 17319421 85684207 379458631 2656210417 976959087613 6838713613291 30285731716003 212000122012021