12108583440 has 180 divisors, whose sum is σ = 42117347844. Its totient is φ = 3117456384.

The previous prime is 12108583433. The next prime is 12108583441. The reversal of 12108583440 is 4438580121.

It can be written as a sum of positive squares in 6 ways, for example, as 312016896 + 11796566544 = 17664^2 + 108612^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12108583395 and 12108583404.

It is not an unprimeable number, because it can be changed into a prime (12108583441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 595522 + ... + 615518.

Almost surely, 2^12108583440 is an apocalyptic number.

12108583440 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 12108583440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058673922).

12108583440 is an abundant number, since it is smaller than the sum of its proper divisors (30008764404).

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

12108583440 is a wasteful number, since it uses less digits than its factorization.

12108583440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20074 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12108583440 in words is "twelve billion, one hundred eight million, five hundred eighty-three thousand, four hundred forty".