12105440000 has 90 divisors (see below), whose sum is σ = 30195225060. Its totient is φ = 4842112000.

The previous prime is 12105439993. The next prime is 12105440041. The reversal of 12105440000 is 4450121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 122171 + ... + 197829.

Almost surely, 2^12105440000 is an apocalyptic number.

12105440000 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 12105440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097612530).

12105440000 is an abundant number, since it is smaller than the sum of its proper divisors (18089785060).

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

12105440000 is an frugal number, since it uses more digits than its factorization.

12105440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75695 (or 75666 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 12105440000 its reverse (4450121), we get a palindrome (12109890121).

The spelling of 12105440000 in words is "twelve billion, one hundred five million, four hundred forty thousand".