12105948160 has 88 divisors (see below), whose sum is σ = 29192938416. Its totient is φ = 4816896000.

The previous prime is 12105948157. The next prime is 12105948161. The reversal of 12105948160 is 6184950121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105948161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982035 + ... + 994285.

Almost surely, 2^12105948160 is an apocalyptic number.

12105948160 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 12105948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596469208).

12105948160 is an abundant number, since it is smaller than the sum of its proper divisors (17086990256).

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

12105948160 is a wasteful number, since it uses less digits than its factorization.

12105948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12469 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 12105948160 in words is "twelve billion, one hundred five million, nine hundred forty-eight thousand, one hundred sixty".