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12002201201 = 47599744621
BaseRepresentation
bin10110010110110001…
…10000111001110001
31010222110020222211102
423023120300321301
5144040030414301
65302544454145
7603266012144
oct131330607161
933873228742
1012002201201
1150a9a25451
1223ab61a355
131193755703
1481c03205b
154a3a57b6b
hex2cb630e71

12002201201 has 16 divisors (see below), whose sum is σ = 12594113280. Its totient is φ = 11428431360.

The previous prime is 12002201171. The next prime is 12002201207. The reversal of 12002201201 is 10210220021.

It is a happy number.

12002201201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12002201201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002201207) 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, 246671 + ... + 291291.

It is an arithmetic number, because the mean of its divisors is an integer number (787132080).

Almost surely, 212002201201 is an apocalyptic number.

It is an amenable number.

12002201201 is a deficient number, since it is larger than the sum of its proper divisors (591912079).

12002201201 is an equidigital number, since it uses as much as digits as its factorization.

12002201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44824.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002201201 its reverse (10210220021), we get a palindrome (22212421222).

The spelling of 12002201201 in words is "twelve billion, two million, two hundred one thousand, two hundred one".

Divisors: 1 47 59 97 2773 4559 5723 44621 268981 2097187 2632639 4328237 123734033 203427139 255365983 12002201201