12105277440 has 448 divisors, whose sum is σ = 41521075200. Its totient is φ = 3005743104.

The previous prime is 12105277421. The next prime is 12105277501. The reversal of 12105277440 is 4477250121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153231321 + ... + 153231399.

Almost surely, 2^12105277440 is an apocalyptic number.

12105277440 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 12105277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760537600).

12105277440 is an abundant number, since it is smaller than the sum of its proper divisors (29415797760).

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

12105277440 is an equidigital number, since it uses as much as digits as its factorization.

12105277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 12105277440 in words is "twelve billion, one hundred five million, two hundred seventy-seven thousand, four hundred forty".