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12224211324341 = 174336745565633
BaseRepresentation
bin1011000111100010101111…
…0001100000110110110101
31121021121211022020111111012
42301320223301200312311
53100240141044334331
641555420344522005
72401112231560652
oct261705361406665
947247738214435
1012224211324341
113993293676365
121455173780305
136a8979a28983
143039253c8c29
15162ea6bca82b
hexb1e2bc60db5

12224211324341 has 16 divisors (see below), whose sum is σ = 13280377423104. Its totient is φ = 11206958321664.

The previous prime is 12224211324331. The next prime is 12224211324359. The reversal of 12224211324341 is 14342311242221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12224211324341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12224211324298 and 12224211324307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224211324331) 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 15 ways as a sum of consecutive naturals, for example, 22514540 + ... + 23051093.

It is an arithmetic number, because the mean of its divisors is an integer number (830023588944).

Almost surely, 212224211324341 is an apocalyptic number.

It is an amenable number.

12224211324341 is a deficient number, since it is larger than the sum of its proper divisors (1056166098763).

12224211324341 is a wasteful number, since it uses less digits than its factorization.

12224211324341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45566060.

The product of its digits is 18432, while the sum is 32.

Adding to 12224211324341 its reverse (14342311242221), we get a palindrome (26566522566562).

The spelling of 12224211324341 in words is "twelve trillion, two hundred twenty-four billion, two hundred eleven million, three hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 17 43 367 731 6239 15781 268277 45565633 774615761 1959322219 16722587311 33308477723 284283984287 719071254373 12224211324341