12011440 has 80 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 4055040.

The previous prime is 12011411. The next prime is 12011459. The reversal of 12011440 is 4411021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12011440.

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 15 ways as a sum of consecutive naturals, for example, 49720 + ... + 49960.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 2^12011440 is an apocalyptic number.

12011440 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 12011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).

12011440 is an abundant number, since it is smaller than the sum of its proper divisors (20397200).

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

12011440 is a wasteful number, since it uses less digits than its factorization.

12011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12011440 is about 3465.7524435539. The cubic root of 12011440 is about 229.0155783533.

Adding to 12011440 its reverse (4411021), we get a palindrome (16422461).

The spelling of 12011440 in words is "twelve million, eleven thousand, four hundred forty".