12108541440 has 160 divisors (see below), whose sum is σ = 38848826016. Its totient is φ = 3217326080.

The previous prime is 12108541411. The next prime is 12108541453. The reversal of 12108541440 is 4414580121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12108541398 and 12108541407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247550 + ... + 2252930.

Almost surely, 2^12108541440 is an apocalyptic number.

12108541440 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 12108541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424413008).

12108541440 is an abundant number, since it is smaller than the sum of its proper divisors (26740284576).

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

12108541440 is an equidigital number, since it uses as much as digits as its factorization.

12108541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 12108541440 in words is "twelve billion, one hundred eight million, five hundred forty-one thousand, four hundred forty".