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200220022012122 = 232746315432224283
BaseRepresentation
bin101101100001100101011011…
…010010011111100011011010
3222020220211212120212100021100
4231201211123102133203122
5202220401101113341442
61545455450332452230
760113263536464640
oct5541453322374332
9866824776770240
10200220022012122
115888391a778602
121a557b9431a076
1387948896c1bb8
1437629b4cbb190
1518232b017b84c
hexb6195b49f8da

200220022012122 has 96 divisors (see below), whose sum is σ = 497175945596928. Its totient is φ = 57045146181408.

The previous prime is 200220022012103. The next prime is 200220022012123. The reversal of 200220022012122 is 221210220022002.

200220022012122 is a `hidden beast` number, since 200 + 2 + 200 + 220 + 1 + 21 + 22 = 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 = 200220022012095 and 200220022012104.

It is not an unprimeable number, because it can be changed into a prime (200220022012123) 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, 88903393 + ... + 91127675.

It is an arithmetic number, because the mean of its divisors is an integer number (5178916099968).

Almost surely, 2200220022012122 is an apocalyptic number.

200220022012122 is an abundant number, since it is smaller than the sum of its proper divisors (296955923584806).

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

200220022012122 is a wasteful number, since it uses less digits than its factorization.

200220022012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226304 (or 2226301 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200220022012122 its reverse (221210220022002), we get a palindrome (421430242034124).

The spelling of 200220022012122 in words is "two hundred trillion, two hundred twenty billion, twenty-two million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 463 926 1389 1543 2778 3086 3241 4167 4629 6482 8334 9258 9723 10801 13887 19446 21602 27774 29169 32403 58338 64806 97209 194418 714409 1428818 2143227 2224283 4286454 4448566 5000863 6429681 6672849 10001726 12859362 13345698 15002589 15569981 20018547 30005178 31139962 40037094 45007767 46709943 90015534 93419886 140129829 280259658 1029843029 2059686058 3089529087 3432068669 6179058174 6864137338 7208901203 9268587261 10296206007 14417802406 18537174522 20592412014 21626703609 24024480683 30888618021 43253407218 48048961366 61777236042 64880110827 72073442049 129760221654 144146884098 216220326147 432440652294 1589047793747 3178095587494 4767143381241 9534286762482 11123334556229 14301430143723 22246669112458 28602860287446 33370003668687 66740007337374 100110011006061 200220022012122