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22012110121122 = 23211195322083009
BaseRepresentation
bin1010000000101000110000…
…00000010010100010100010
32212221100002210122020202100
411000110120000102202202
510341121300142333442
6114452120201031230
74431215415611352
oct500243000224242
985840083566670
1022012110121122
117017313344090
122576117185516
13c3896b758144
1456156b1d2b62
152828bb0d784c
hex1405180128a2

22012110121122 has 144 divisors (see below), whose sum is σ = 55819835416800. Its totient is φ = 6200031651840.

The previous prime is 22012110121097. The next prime is 22012110121129. The reversal of 22012110121122 is 22112101121022.

22012110121122 is a `hidden beast` number, since 220 + 1 + 211 + 0 + 1 + 211 + 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 = 22012110121095 and 22012110121104.

It is not an unprimeable number, because it can be changed into a prime (22012110121129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9525954 + ... + 11608962.

It is an arithmetic number, because the mean of its divisors is an integer number (387637745950).

Almost surely, 222012110121122 is an apocalyptic number.

22012110121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012110121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27909917708400).

22012110121122 is an abundant number, since it is smaller than the sum of its proper divisors (33807725295678).

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

22012110121122 is a wasteful number, since it uses less digits than its factorization.

22012110121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083153 (or 2083097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22012110121122 its reverse (22112101121022), we get a palindrome (44124211242144).

The spelling of 22012110121122 in words is "twenty-two trillion, twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 53 57 66 99 106 114 159 171 198 209 318 342 418 477 583 627 954 1007 1166 1254 1749 1881 2014 2809 3021 3498 3762 5247 5618 6042 8427 9063 10494 11077 16854 18126 22154 25281 30899 33231 50562 53371 61798 66462 92697 99693 106742 160113 185394 199386 278091 320226 480339 556182 587081 960678 1174162 1761243 2083009 3522486 4166018 5283729 6249027 10567458 12498054 18747081 22913099 37494162 39577171 45826198 68739297 79154342 110399477 118731513 137478594 206217891 220798954 237463026 331198431 356194539 412435782 435348881 662396862 712389078 870697762 993595293 1214394247 1306046643 1987190586 2097590063 2428788494 2612093286 3643182741 3918139929 4195180126 5851172281 6292770189 7286365482 7836279858 10929548223 11702344562 12585540378 17553516843 18878310567 21859096446 23073490693 35107033686 37756621134 46146981386 52660550529 64362895091 69220472079 105321101058 111172273339 128725790182 138440944158 193088685273 207661416237 222344546678 333516820017 386177370546 415322832474 579266055819 667033640034 1000550460051 1158532111638 1222895006729 2001100920102 2445790013458 3668685020187 7337370040374 11006055060561 22012110121122