12301001085829 has 2 divisors, whose sum is σ = 12301001085830. Its totient is φ = 12301001085828.

The previous prime is 12301001085817. The next prime is 12301001085847. The reversal of 12301001085829 is 92858010010321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10798420349025 + 1502580736804 = 3286095^2 + 1225798^2 .

It is an emirp because it is prime and its reverse (92858010010321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12301001085829 - 2²⁵ = 12300967531397 is a prime.

It is a super-3 number, since 3×12301001085829³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12301001085791 and 12301001085800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12301001085029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150500542914 + 6150500542915.

It is an arithmetic number, because the mean of its divisors is an integer number (6150500542915).

Almost surely, 2^{12301001085829} is an apocalyptic number.

It is an amenable number.

12301001085829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12301001085829 is an equidigital number, since it uses as much as digits as its factorization.

12301001085829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 12301001085829 in words is "twelve trillion, three hundred one billion, one million, eighty-five thousand, eight hundred twenty-nine".