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12221001441 = 35114572017
BaseRepresentation
bin10110110000110110…
…11010111011100001
31011112200222012100000
423120123122323201
5200012034021231
65340402250213
7611563540545
oct133033327341
934480865300
1012221001441
1152014892a0
122450956969
1311c9b92ccc
1483d109a25
154b7d776e6
hex2d86daee1

12221001441 has 24 divisors (see below), whose sum is σ = 19970574624. Its totient is φ = 7406665920.

The previous prime is 12221001413. The next prime is 12221001461. The reversal of 12221001441 is 14410012221.

12221001441 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 0 + 1 + 441 = 666.

It is not a de Polignac number, because 12221001441 - 25 = 12221001409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221001461) 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 23 ways as a sum of consecutive naturals, for example, 2283336 + ... + 2288681.

It is an arithmetic number, because the mean of its divisors is an integer number (832107276).

Almost surely, 212221001441 is an apocalyptic number.

12221001441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221001441 is a deficient number, since it is larger than the sum of its proper divisors (7749573183).

12221001441 is an equidigital number, since it uses as much as digits as its factorization.

12221001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572043 (or 4572031 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221001441 its reverse (14410012221), we get a palindrome (26631013662).

The spelling of 12221001441 in words is "twelve billion, two hundred twenty-one million, one thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 4572017 13716051 41148153 50292187 123444459 150876561 370333377 452629683 1111000131 1357889049 4073667147 12221001441