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11212221200022 = 23237591321721589
BaseRepresentation
bin1010001100101000110001…
…1101100011011010010110
31110200212200222021122112200
42203022030131203122112
52432200112111400042
635502453500225330
72235025202466153
oct243121435433226
943625628248480
1011212221200022
113633092624617
12131100623b246
1363440067571b
142aa9627b522a
151469c79e4c4c
hexa328c763696

11212221200022 has 96 divisors (see below), whose sum is σ = 25375689050400. Its totient is φ = 3574326196224.

The previous prime is 11212221199981. The next prime is 11212221200051. The reversal of 11212221200022 is 22000212221211.

It is a happy number.

11212221200022 is a `hidden beast` number, since 11 + 212 + 221 + 200 + 0 + 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 = 11212221199968 and 11212221200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519338004 + ... + 519359592.

It is an arithmetic number, because the mean of its divisors is an integer number (264330094275).

Almost surely, 211212221200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212221200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687844525200).

11212221200022 is an abundant number, since it is smaller than the sum of its proper divisors (14163467850378).

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

11212221200022 is a wasteful number, since it uses less digits than its factorization.

11212221200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34910 (or 34907 counting only the distinct ones).

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

Adding to 11212221200022 its reverse (22000212221211), we get a palindrome (33212433421233).

The spelling of 11212221200022 in words is "eleven trillion, two hundred twelve billion, two hundred twenty-one million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 333 354 531 666 1062 2183 4366 6549 13098 13217 19647 21589 26434 39294 39651 43178 64767 79302 118953 129534 194301 237906 388602 489029 779803 798793 978058 1273751 1467087 1559606 1597586 2339409 2396379 2547502 2934174 3821253 4401261 4678818 4792758 7018227 7189137 7642506 8802522 11463759 14036454 14378274 22927518 28852711 47128787 57705422 86558133 94257574 141386361 173116266 259674399 282772722 285341813 424159083 519348798 570683626 848318166 856025439 1712050878 2568076317 5136152634 10557647081 16835166967 21115294162 31672941243 33670333934 50505500901 63345882486 95018823729 101011001802 151516502703 190037647458 303033005406 622901177779 1245802355558 1868703533337 3737407066674 5606110600011 11212221200022