12405101163 has 64 divisors (see below), whose sum is σ = 21119078400. Its totient is φ = 6302499840.

The previous prime is 12405101153. The next prime is 12405101167. The reversal of 12405101163 is 36110150421.

It is a happy number.

It is not a de Polignac number, because 12405101163 - 2⁴ = 12405101147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12405101167) 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 63 ways as a sum of consecutive naturals, for example, 877233 + ... + 891261.

It is an arithmetic number, because the mean of its divisors is an integer number (329985600).

Almost surely, 2^12405101163 is an apocalyptic number.

12405101163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12405101163 is a deficient number, since it is larger than the sum of its proper divisors (8713977237).

12405101163 is a wasteful number, since it uses less digits than its factorization.

12405101163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 12405101163 its reverse (36110150421), we get a palindrome (48515251584).

The spelling of 12405101163 in words is "twelve billion, four hundred five million, one hundred one thousand, one hundred sixty-three".