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12211121100111 = 3173725125781603
BaseRepresentation
bin1011000110110001111110…
…0010010001010101001111
31121020101001000200012122120
42301230133202101111033
53100031334000200421
641545413411544023
72400136651524633
oct261543742212517
947211030605576
1012211121100111
11398878657712a
12145271b8bb013
136a7671a56c6b
14303042a94dc3
1516298c8a58c6
hexb1b1f89154f

12211121100111 has 32 divisors (see below), whose sum is σ = 17775694073088. Its totient is φ = 7425101376000.

The previous prime is 12211121100109. The next prime is 12211121100131. The reversal of 12211121100111 is 11100112111221.

It is not a de Polignac number, because 12211121100111 - 21 = 12211121100109 is a prime.

It is a super-2 number, since 2×122111211001112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211121100131) 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 31 ways as a sum of consecutive naturals, for example, 12417165 + ... + 13364438.

It is an arithmetic number, because the mean of its divisors is an integer number (555490439784).

Almost surely, 212211121100111 is an apocalyptic number.

12211121100111 is a deficient number, since it is larger than the sum of its proper divisors (5564572972977).

12211121100111 is a wasteful number, since it uses less digits than its factorization.

12211121100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25781911.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12211121100111 its reverse (11100112111221), we get a palindrome (23311233211332).

The spelling of 12211121100111 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred thousand, one hundred eleven".

Divisors: 1 3 17 37 51 111 251 629 753 1887 4267 9287 12801 27861 157879 473637 25781603 77344809 438287251 953919311 1314861753 2861757933 6471182353 16216628287 19413547059 48649884861 110010100001 239433747061 330030300003 718301241183 4070373700037 12211121100111