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11222001010122 = 2372193383516377
BaseRepresentation
bin1010001101001101001101…
…1000100100010111001010
31110201210221112201110220120
42203103103120210113022
52432330124224310442
635511152135404110
72235522434504100
oct243232330442712
943653845643816
1011222001010122
113637251016701
121312a95523636
136352cb859bc6
142ab20d5bbc70
15146d9b3ab4ec
hexa34d36245ca

11222001010122 has 96 divisors (see below), whose sum is σ = 26312177313792. Its totient is φ = 3181338832896.

The previous prime is 11222001010097. The next prime is 11222001010127. The reversal of 11222001010122 is 22101010022211.

It is not an unprimeable number, because it can be changed into a prime (11222001010127) 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, 21473998 + ... + 21990374.

It is an arithmetic number, because the mean of its divisors is an integer number (274085180352).

Almost surely, 211222001010122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222001010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156088656896).

11222001010122 is an abundant number, since it is smaller than the sum of its proper divisors (15090176303670).

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

11222001010122 is a wasteful number, since it uses less digits than its factorization.

11222001010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516972 (or 516965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222001010122 its reverse (22101010022211), we get a palindrome (33323011032333).

The spelling of 11222001010122 in words is "eleven trillion, two hundred twenty-two billion, one million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 193 294 383 386 579 766 1149 1158 1351 2298 2681 2702 4053 5362 8043 8106 9457 16086 18767 18914 28371 37534 56301 56742 73919 112602 147838 221757 443514 516377 517433 1032754 1034866 1549131 1552299 3098262 3104598 3614639 3622031 7229278 7244062 10843917 10866093 21687834 21732186 25302473 50604946 75907419 99660761 151814838 197772391 199321522 298982283 395544782 593317173 597964566 697625327 1186634346 1384406737 1395250654 2092875981 2768813474 4153220211 4185751962 4883377289 8306440422 9690847159 9766754578 14650131867 19381694318 29072541477 29300263734 38170071463 58145082954 76340142926 114510214389 229020428778 267190500241 534381000482 801571500723 1603143001446 1870333501687 3740667003374 5611000505061 11222001010122