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12211111111122 = 235711326308351
BaseRepresentation
bin1011000110110001111011…
…1100001010100111010010
31121020101000022212201100000
42301230132330022213102
53100031323421023442
641545412413510430
72400136500602340
oct261543674124722
947211008781300
1012211111111122
113988780974270
1214527184a2416
136a766c96a411
14303041614990
1516298ba80d4c
hexb1b1ef0a9d2

12211111111122 has 96 divisors (see below), whose sum is σ = 34207557156864. Its totient is φ = 3171717162000.

The previous prime is 12211111111099. The next prime is 12211111111123. The reversal of 12211111111122 is 22111111111221.

It is a super-2 number, since 2×122111111111222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12211111111095 and 12211111111104.

It is not an unprimeable number, because it can be changed into a prime (12211111111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163116754 + ... + 163191597.

It is an arithmetic number, because the mean of its divisors is an integer number (356328720384).

Almost surely, 212211111111122 is an apocalyptic number.

12211111111122 is an abundant number, since it is smaller than the sum of its proper divisors (21996446045742).

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

12211111111122 is a wasteful number, since it uses less digits than its factorization.

12211111111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326308386 (or 326308374 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 12211111111122 its reverse (22111111111221), we get a palindrome (34322222222343).

Subtracting 12211111111122 from its reverse (22111111111221), we obtain a palindrome (9900000000099).

The spelling of 12211111111122 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 18711 37422 326308351 652616702 978925053 1957850106 2284158457 2936775159 3589391861 4568316914 5873550318 6852475371 7178783722 8810325477 10768175583 13704950742 17620650954 20557426113 21536351166 25125743027 26430976431 32304526749 41114852226 50251486054 52861952862 61672278339 64609053498 75377229081 79292929293 96913580247 123344556678 150754458162 158585858586 185016835017 193827160494 226131687243 290740740741 370033670034 452263374486 555050505051 581481481482 678395061729 872222222223 1110101010102 1356790123458 1744444444446 2035185185187 4070370370374 6105555555561 12211111111122