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12442624421 is a prime number
BaseRepresentation
bin10111001011010001…
…10110000110100101
31012010010222210220112
423211220312012211
5200440302440141
65414400342405
7620224363643
oct134550660645
935103883815
1012442624421
11530559a987
1224b3014a05
131233a7b376
1486071a193
154cc5537eb
hex2e5a361a5

12442624421 has 2 divisors, whose sum is σ = 12442624422. Its totient is φ = 12442624420.

The previous prime is 12442624393. The next prime is 12442624429.

12442624421 is nontrivially palindromic in base 10.

12442624421 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., 12220197025 + 222427396 = 110545^2 + 14914^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 12442624421 - 210 = 12442623397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12442624429) 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, 6221312210 + 6221312211.

It is an arithmetic number, because the mean of its divisors is an integer number (6221312211).

Almost surely, 212442624421 is an apocalyptic number.

It is an amenable number.

12442624421 is a deficient number, since it is larger than the sum of its proper divisors (1).

12442624421 is an equidigital number, since it uses as much as digits as its factorization.

12442624421 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24576, while the sum is 32.

The spelling of 12442624421 in words is "twelve billion, four hundred forty-two million, six hundred twenty-four thousand, four hundred twenty-one".