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12211111121 = 1119136142929
BaseRepresentation
bin10110101111101011…
…01100010011010001
31011112000100201100212
423113311230103101
5200002021023441
65335410253505
7611413506026
oct132765542321
934460321325
1012211111121
1151a6943580
122449587295
1311c7b0c351
1483ba9354d
154b7071eeb
hex2d7d6c4d1

12211111121 has 16 divisors (see below), whose sum is σ = 14032958400. Its totient is φ = 10508774400.

The previous prime is 12211111117. The next prime is 12211111163. The reversal of 12211111121 is 12111111221.

It is a cyclic number.

It is not a de Polignac number, because 12211111121 - 22 = 12211111117 is a prime.

It is a super-2 number, since 2×122111111212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12211111096 and 12211111105.

It is not an unprimeable number, because it can be changed into a prime (12211111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262985 + ... + 305913.

It is an arithmetic number, because the mean of its divisors is an integer number (877059900).

Almost surely, 212211111121 is an apocalyptic number.

12211111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211111121 is a deficient number, since it is larger than the sum of its proper divisors (1821847279).

12211111121 is a wasteful number, since it uses less digits than its factorization.

12211111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44320.

The product of its digits is 8, while the sum is 14.

Adding to 12211111121 its reverse (12111111221), we get a palindrome (24322222342).

It can be divided in two parts, 1 and 2211111121, that added together give a palindrome (2211111122).

The spelling of 12211111121 in words is "twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 19 209 1361 14971 25859 42929 284449 472219 815651 8972161 58426369 642690059 1110101011 12211111121