12305161000 has 256 divisors, whose sum is σ = 34717662720. Its totient is φ = 4026880000.

The previous prime is 12305160991. The next prime is 12305161019. The reversal of 12305161000 is 16150321.

It is an unprimeable number.

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, 4299570 + ... + 4302430.

It is an arithmetic number, because the mean of its divisors is an integer number (135615870).

Almost surely, 2^12305161000 is an apocalyptic number.

12305161000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12305161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358831360).

12305161000 is an abundant number, since it is smaller than the sum of its proper divisors (22412501720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12305161000 is a wasteful number, since it uses less digits than its factorization.

12305161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 12305161000 in words is "twelve billion, three hundred five million, one hundred sixty-one thousand".