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12185437441 is a prime number
BaseRepresentation
bin10110101100100111…
…10000010100000001
31011110020001100200211
423112103300110001
5144423432444231
65333052114121
7610652336452
oct132623602401
934406040624
1012185437441
1151933a8561
122440a65941
1311c26c0618
148384cd129
154b4b9eeb1
hex2d64f0501

12185437441 has 2 divisors, whose sum is σ = 12185437442. Its totient is φ = 12185437440.

The previous prime is 12185437423. The next prime is 12185437477. The reversal of 12185437441 is 14473458121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10835977216 + 1349460225 = 104096^2 + 36735^2 .

It is a cyclic number.

It is not a de Polignac number, because 12185437441 - 29 = 12185436929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12185437394 and 12185437403.

It is not a weakly prime, because it can be changed into another prime (12185437141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6092718720 + 6092718721.

It is an arithmetic number, because the mean of its divisors is an integer number (6092718721).

Almost surely, 212185437441 is an apocalyptic number.

It is an amenable number.

12185437441 is a deficient number, since it is larger than the sum of its proper divisors (1).

12185437441 is an equidigital number, since it uses as much as digits as its factorization.

12185437441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107520, while the sum is 40.

The spelling of 12185437441 in words is "twelve billion, one hundred eighty-five million, four hundred thirty-seven thousand, four hundred forty-one".