12305877850321 has 8 divisors (see below), whose sum is σ = 13424846616288. Its totient is φ = 11186951184000.

The previous prime is 12305877850309. The next prime is 12305877850333.

12305877850321 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12305877850309) and next prime (12305877850333).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12305877850321 - 2⁷ = 12305877850193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12305877854321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9912175 + ... + 11084356.

It is an arithmetic number, because the mean of its divisors is an integer number (1678105827036).

Almost surely, 2^{12305877850321} is an apocalyptic number.

12305877850321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12305877850321 is a deficient number, since it is larger than the sum of its proper divisors (1118968765967).

12305877850321 is a wasteful number, since it uses less digits than its factorization.

12305877850321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21049823.

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 12305877850321 in words is "twelve trillion, three hundred five billion, eight hundred seventy-seven million, eight hundred fifty thousand, three hundred twenty-one".