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212212120210020 = 223257592854615553
BaseRepresentation
bin110000010000000101111100…
…000010101100101001100100
31000211101021120112022022100200
4300100011330002230221210
5210303340410233210040
62031200522511510500
762461551111345360
oct6020057402545144
91024337515268320
10212212120210020
1161687722555547
121b974169828430
139154695000b28
143a5919b2742a0
1519801ce4ec630
hexc1017c0aca64

212212120210020 has 144 divisors (see below), whose sum is σ = 748137644392320. Its totient is φ = 47683498180608.

The previous prime is 212212120210003. The next prime is 212212120210021. The reversal of 212212120210020 is 20012021212212.

It is a happy number.

212212120210020 is a `hidden beast` number, since 2 + 1 + 221 + 212 + 0 + 210 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212212120209975 and 212212120210002.

It is not an unprimeable number, because it can be changed into a prime (212212120210021) 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, 1427233437 + ... + 1427382116.

It is an arithmetic number, because the mean of its divisors is an integer number (5195400308280).

Almost surely, 2212212120210020 is an apocalyptic number.

212212120210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212120210020 is an abundant number, since it is smaller than the sum of its proper divisors (535925524182300).

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

212212120210020 is a wasteful number, since it uses less digits than its factorization.

212212120210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854615634 (or 2854615629 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212212120210020 its reverse (20012021212212), we get a palindrome (232224141422232).

The spelling of 212212120210020 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 590 630 708 826 885 1062 1180 1239 1260 1652 1770 2065 2124 2478 2655 3540 3717 4130 4956 5310 6195 7434 8260 10620 12390 14868 18585 24780 37170 74340 2854615553 5709231106 8563846659 11418462212 14273077765 17127693318 19982308871 25691539977 28546155530 34255386636 39964617742 42819233295 51383079954 57092311060 59946926613 79929235484 85638466590 99911544355 102766159908 119893853226 128457699885 168422317627 171276933180 179840779839 199823088710 239787706452 256915399770 299734633065 336844635254 359681559678 399646177420 505266952881 513830799540 599469266130 673689270508 719363119356 842111588135 899203899195 1010533905762 1178956223389 1198938532260 1515800858643 1684223176270 1798407798390 2021067811524 2357912446778 2526334764405 3031601717286 3368446352540 3536868670167 3596815596780 4715824893556 5052669528810 5894781116945 6063203434572 7073737340334 7579004293215 10105339057620 10610606010501 11789562233890 14147474680668 15158008586430 17684343350835 21221212021002 23579124467780 30316017172860 35368686701670 42442424042004 53053030052505 70737373403340 106106060105010 212212120210020