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12334131222441 = 374320389669923
BaseRepresentation
bin1011001101111100001110…
…0000101001011110101001
31121200010112210220212201020
42303133003200221132221
53104040300043104231
642122115513443053
72412053161362120
oct263370340513651
947603483825636
1012334131222441
113a2596a585756
12147252b710489
136b614675acb2
14308d91abaab7
15165c8bc4e396
hexb37c38297a9

12334131222441 has 32 divisors (see below), whose sum is σ = 19232928506880. Its totient is φ = 6883818346944.

The previous prime is 12334131222419. The next prime is 12334131222487. The reversal of 12334131222441 is 14422213143321.

It is not a de Polignac number, because 12334131222441 - 26 = 12334131222377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12334131222641) 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, 18076306 + ... + 18746228.

It is an arithmetic number, because the mean of its divisors is an integer number (601029015840).

Almost surely, 212334131222441 is an apocalyptic number.

It is an amenable number.

12334131222441 is a deficient number, since it is larger than the sum of its proper divisors (6898797284439).

12334131222441 is a wasteful number, since it uses less digits than its factorization.

12334131222441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690365.

The product of its digits is 27648, while the sum is 33.

Adding to 12334131222441 its reverse (14422213143321), we get a palindrome (26756344365762).

The spelling of 12334131222441 in words is "twelve trillion, three hundred thirty-four billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 7 21 43 129 301 903 20389 61167 142723 428169 669923 876727 2009769 2630181 4689461 6137089 14068383 18411267 28806689 86420067 201646823 604940469 13659060047 40977180141 95613420329 286840260987 587339582021 1762018746063 4111377074147 12334131222441