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212001120121021 = 71122928613016747
BaseRepresentation
bin110000001101000001011011…
…011101001111000010111101
31000210122002221120102012112121
4300031001123131033002331
5210241411243222333041
62030515545311402541
762440401250235140
oct6015013335170275
91023562846365477
10212001120121021
11616061964a5700
121b93b2a2223451
13913a809a5596a
143a4cca229c057
1519799804bc7d1
hexc0d05b74f0bd

212001120121021 has 48 divisors (see below), whose sum is σ = 275595134209920. Its totient is φ = 159443472988800.

The previous prime is 212001120120989. The next prime is 212001120121051. The reversal of 212001120121021 is 120121021100212.

212001120121021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212001120121021 - 25 = 212001120120989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212001120120986 and 212001120121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001120121051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68766370 + ... + 71783116.

It is an arithmetic number, because the mean of its divisors is an integer number (5741565296040).

Almost surely, 2212001120121021 is an apocalyptic number.

It is an amenable number.

212001120121021 is a deficient number, since it is larger than the sum of its proper divisors (63594014088899).

212001120121021 is a wasteful number, since it uses less digits than its factorization.

212001120121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019666 (or 3019655 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212001120121021 its reverse (120121021100212), we get a palindrome (332122141221233).

The spelling of 212001120121021 in words is "two hundred twelve trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 7 11 29 77 121 203 319 847 2233 2861 3509 20027 24563 31471 82969 220297 346181 580783 912659 2423267 3016747 6388613 10039249 21117229 33184217 70274743 87485663 232289519 365026387 612399641 962342293 2555184709 6736396051 8630913167 10585765223 60416392169 74100356561 94940044837 250296481843 664580313859 1044340493207 1752075372901 2753261300273 7310383452449 19272829101911 30285874303003 212001120121021