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12032121001 is a prime number
BaseRepresentation
bin10110011010010101…
…11001100010101001
31011001112120002002011
423031022321202221
5144120210333001
65305534035521
7604111224655
oct131512714251
934045502064
1012032121001
11511490065a
1223b9648ba1
131199a00034
14821dbda65
154a64b7d51
hex2cd2b98a9

12032121001 has 2 divisors, whose sum is σ = 12032121002. Its totient is φ = 12032121000.

The previous prime is 12032120999. The next prime is 12032121029. The reversal of 12032121001 is 10012123021.

12032121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6134648976 + 5897472025 = 78324^2 + 76795^2 .

It is a cyclic number.

It is not a de Polignac number, because 12032121001 - 21 = 12032120999 is a prime.

It is a super-3 number, since 3×120321210013 (a number of 31 digits) contains 333 as substring.

Together with 12032120999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12032121041) 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 as a sum of consecutive naturals, namely, 6016060500 + 6016060501.

It is an arithmetic number, because the mean of its divisors is an integer number (6016060501).

Almost surely, 212032121001 is an apocalyptic number.

It is an amenable number.

12032121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12032121001 is an equidigital number, since it uses as much as digits as its factorization.

12032121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12032121001 its reverse (10012123021), we get a palindrome (22044244022).

The spelling of 12032121001 in words is "twelve billion, thirty-two million, one hundred twenty-one thousand, one".