12105185040 has 240 divisors, whose sum is σ = 45193774080. Its totient is φ = 2883548160.

The previous prime is 12105184999. The next prime is 12105185041. The reversal of 12105185040 is 4058150121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 12105184995 and 12105185013.

It is not an unprimeable number, because it can be changed into a prime (12105185041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269301 + ... + 311019.

It is an arithmetic number, because the mean of its divisors is an integer number (188307392).

Almost surely, 2^12105185040 is an apocalyptic number.

12105185040 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 12105185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22596887040).

12105185040 is an abundant number, since it is smaller than the sum of its proper divisors (33088589040).

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

12105185040 is a wasteful number, since it uses less digits than its factorization.

12105185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41782 (or 41773 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 12105185040 in words is "twelve billion, one hundred five million, one hundred eighty-five thousand, forty".