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12235721441 = 1929121318307
BaseRepresentation
bin10110110010100111…
…00100101011100001
31011120201200001101012
423121103210223201
5200024321041231
65342045550305
7612132626156
oct133123445341
934521601335
1012235721441
115209822689
122455875395
1311ccc48078
1484105c22d
154b92d3e2b
hex2d94e4ae1

12235721441 has 16 divisors (see below), whose sum is σ = 13335547200. Its totient is φ = 11182183488.

The previous prime is 12235721437. The next prime is 12235721467. The reversal of 12235721441 is 14412753221.

It is a happy number.

12235721441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12235721441 - 22 = 12235721437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12235721398 and 12235721407.

It is not an unprimeable number, because it can be changed into a prime (12235721341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659210 + ... + 677516.

It is an arithmetic number, because the mean of its divisors is an integer number (833471700).

Almost surely, 212235721441 is an apocalyptic number.

It is an amenable number.

12235721441 is a deficient number, since it is larger than the sum of its proper divisors (1099825759).

12235721441 is a wasteful number, since it uses less digits than its factorization.

12235721441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19568.

The product of its digits is 13440, while the sum is 32.

The spelling of 12235721441 in words is "twelve billion, two hundred thirty-five million, seven hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 19 29 551 1213 18307 23047 35177 347833 530903 668363 10087157 22206391 421921429 643985339 12235721441