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212000122012020 = 22354186178911387
BaseRepresentation
bin110000001101000000011111…
…111101110000000101110100
31000210122000101000022000101120
4300031000133331300011310
5210241402222213341040
62030515302254423540
762440334440401306
oct6015003775600564
91023560330260346
10212000122012020
1161605824053631
121b93b063b01bb0
13913a6ab02b414
143a4cc098c3976
151979922a617d0
hexc0d01ff70174

212000122012020 has 48 divisors (see below), whose sum is σ = 608078398753728. Its totient is φ = 55154503287040.

The previous prime is 212000122012009. The next prime is 212000122012069. The reversal of 212000122012020 is 20210221000212.

It is a super-3 number, since 3×2120001220120203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43089453234 + ... + 43089458153.

It is an arithmetic number, because the mean of its divisors is an integer number (12668299974036).

Almost surely, 2212000122012020 is an apocalyptic number.

212000122012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000122012020 is an abundant number, since it is smaller than the sum of its proper divisors (396078276741708).

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

212000122012020 is a wasteful number, since it uses less digits than its factorization.

212000122012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86178911440 (or 86178911438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212000122012020 its reverse (20210221000212), we get a palindrome (232210343012232).

The spelling of 212000122012020 in words is "two hundred twelve trillion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 86178911387 172357822774 258536734161 344715645548 430894556935 517073468322 861789113870 1034146936644 1292683670805 1723578227740 2585367341610 3533335366867 5170734683220 7066670733734 10600006100601 14133341467468 17666676834335 21200012201202 35333353668670 42400024402404 53000030503005 70666707337340 106000061006010 212000122012020