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212020011120020 = 225311634217497501
BaseRepresentation
bin110000001101010011000001…
…011100101011010110010100
31000210200220201010011101102012
4300031103001130223112110
5210242213440321320040
62030532352023203352
762441640345130025
oct6015230134532624
91023626633141365
10212020011120020
11616131aaa21874
121b942a948a6558
13913c52a74a98c
143a4db75180c4c
15197a1d8bc5865
hexc0d4c172b594

212020011120020 has 96 divisors (see below), whose sum is σ = 462534916709376. Its totient is φ = 81549244800000.

The previous prime is 212020011120019. The next prime is 212020011120041. The reversal of 212020011120020 is 20021110020212.

It is a junction number, because it is equal to n+sod(n) for n = 212020011119977 and 212020011120004.

It is a congruent number.

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, 425921270 + ... + 426418770.

It is an arithmetic number, because the mean of its divisors is an integer number (4818072049056).

Almost surely, 2212020011120020 is an apocalyptic number.

212020011120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020011120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231267458354688).

212020011120020 is an abundant number, since it is smaller than the sum of its proper divisors (250514905589356).

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

212020011120020 is a wasteful number, since it uses less digits than its factorization.

212020011120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501921 (or 501919 counting only the distinct ones).

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

Adding to 212020011120020 its reverse (20021110020212), we get a palindrome (232041121140232).

The spelling of 212020011120020 in words is "two hundred twelve trillion, twenty billion, eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 326 620 652 815 1630 3260 4217 5053 8434 10106 16868 20212 21085 25265 42170 50530 84340 101060 130727 261454 497501 522908 653635 687371 995002 1307270 1374742 1990004 2487505 2614540 2749484 3436855 4975010 6873710 9950020 13747420 15422531 21308501 30845062 42617002 61690124 77112655 81092663 85234004 106542505 154225310 162185326 213085010 308450620 324370652 405463315 426170020 810926630 1621853260 2097961717 2513872553 4195923434 5027745106 8391846868 10055490212 10489808585 12569362765 20979617170 25138725530 41959234340 50277451060 65036813227 130073626454 260147252908 325184066135 341967759871 650368132270 683935519742 1300736264540 1367871039484 1709838799355 3419677598710 6839355197420 10601000556001 21202001112002 42404002224004 53005002780005 106010005560010 212020011120020