12830184149601 has 192 divisors, whose sum is σ = 23322057400320. Its totient is φ = 6196691289600.

The previous prime is 12830184149591. The next prime is 12830184149623. The reversal of 12830184149601 is 10694148103821.

It is not a de Polignac number, because 12830184149601 - 2⁵ = 12830184149569 is a prime.

It is a super-2 number, since 2×12830184149601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12830184149801) 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 in 191 ways as a sum of consecutive naturals, for example, 202826760 + ... + 202890006.

It is an arithmetic number, because the mean of its divisors is an integer number (121469048960).

Almost surely, 2^{12830184149601} is an apocalyptic number.

It is an amenable number.

12830184149601 is a deficient number, since it is larger than the sum of its proper divisors (10491873250719).

12830184149601 is a wasteful number, since it uses less digits than its factorization.

12830184149601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63484 (or 63477 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 12830184149601 in words is "twelve trillion, eight hundred thirty billion, one hundred eighty-four million, one hundred forty-nine thousand, six hundred one".