12024412000 has 96 divisors (see below), whose sum is σ = 29580393024. Its totient is φ = 4803840000.

The previous prime is 12024411961. The next prime is 12024412003. The reversal of 12024412000 is 21442021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12024412003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4802749 + ... + 4805251.

It is an arithmetic number, because the mean of its divisors is an integer number (308129094).

Almost surely, 2^12024412000 is an apocalyptic number.

12024412000 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 12024412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790196512).

12024412000 is an abundant number, since it is smaller than the sum of its proper divisors (17555981024).

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

12024412000 is a wasteful number, since it uses less digits than its factorization.

12024412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12024412000 its reverse (21442021), we get a palindrome (12045854021).

The spelling of 12024412000 in words is "twelve billion, twenty-four million, four hundred twelve thousand".