12230289792 has 320 divisors, whose sum is σ = 42574963200. Its totient is φ = 3412233216.

The previous prime is 12230289769. The next prime is 12230289793. The reversal of 12230289792 is 29798203221.

It is a happy number.

12230289792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230289793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3118809 + ... + 3122727.

It is an arithmetic number, because the mean of its divisors is an integer number (133046760).

Almost surely, 2^12230289792 is an apocalyptic number.

12230289792 is a gapful number since it is divisible by the number (12) 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 12230289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287481600).

12230289792 is an abundant number, since it is smaller than the sum of its proper divisors (30344673408).

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

12230289792 is an equidigital number, since it uses as much as digits as its factorization.

12230289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12230289792 in words is "twelve billion, two hundred thirty million, two hundred eighty-nine thousand, seven hundred ninety-two".