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212221022112220 = 225115033608353149
BaseRepresentation
bin110000010000001110001110…
…101000110000100111011100
31000211102010112220210210111011
4300100032032220300213130
5210304012123130042340
62031204554110305004
762462314523306122
oct6020161650604734
91024363486723434
10212221022112220
1161690480434410
121b975a32ab8164
139155483355394
143a597a3631912
151980550c9d0ea
hexc1038ea309dc

212221022112220 has 96 divisors (see below), whose sum is σ = 487168294233600. Its totient is φ = 77014275221760.

The previous prime is 212221022112217. The next prime is 212221022112227. The reversal of 212221022112220 is 22211220122212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212221022112191 and 212221022112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221022112227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3992918206 + ... + 3992971354.

It is an arithmetic number, because the mean of its divisors is an integer number (5074669731600).

Almost surely, 2212221022112220 is an apocalyptic number.

212221022112220 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 212221022112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243584147116800).

212221022112220 is an abundant number, since it is smaller than the sum of its proper divisors (274947272121380).

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

212221022112220 is a wasteful number, since it uses less digits than its factorization.

212221022112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89755 (or 89753 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212221022112220 its reverse (22211220122212), we get a palindrome (234432242234432).

The spelling of 212221022112220 in words is "two hundred twelve trillion, two hundred twenty-one billion, twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 503 1006 2012 2515 5030 5533 10060 11066 22132 27665 36083 53149 55330 72166 106298 110660 144332 180415 212596 265745 360830 396913 531490 584639 721660 793826 1062980 1169278 1587652 1984565 2338556 2923195 3969130 5846390 7938260 11692780 18149749 26733947 36299498 53467894 72598996 90748745 106935788 133669735 181497490 199647239 267339470 294073417 362994980 399294478 534678940 588146834 798588956 998236195 1176293668 1470367085 1917775367 1996472390 2940734170 3835550734 3992944780 5881468340 7671101468 9588876835 19177753670 21095529037 38355507340 42191058074 84382116148 105477645185 210955290370 421910580740 964641009601 1929282019202 3858564038404 4823205048005 9646410096010 10611051105611 19292820192020 21222102211222 42444204422444 53055255528055 106110511056110 212221022112220