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12140873321 is a prime number
BaseRepresentation
bin10110100111010011…
…10000011001101001
31011100010012021012212
423103221300121221
5144331030421241
65324421014505
7606601502063
oct132351603151
934303167185
1012140873321
11517022a905
122429b54435
1311b63b9515
1483260c733
154b0ceabeb
hex2d3a70669

12140873321 has 2 divisors, whose sum is σ = 12140873322. Its totient is φ = 12140873320.

The previous prime is 12140873299. The next prime is 12140873333. The reversal of 12140873321 is 12337804121.

12140873321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11780063296 + 360810025 = 108536^2 + 18995^2 .

It is a cyclic number.

It is not a de Polignac number, because 12140873321 - 226 = 12073764457 is a prime.

It is a super-3 number, since 3×121408733213 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12140873351) 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, 6070436660 + 6070436661.

It is an arithmetic number, because the mean of its divisors is an integer number (6070436661).

Almost surely, 212140873321 is an apocalyptic number.

It is an amenable number.

12140873321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12140873321 is an equidigital number, since it uses as much as digits as its factorization.

12140873321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 12140873321 in words is "twelve billion, one hundred forty million, eight hundred seventy-three thousand, three hundred twenty-one".