12221413120 has 144 divisors (see below), whose sum is σ = 33542530560. Its totient is φ = 4179382272.

The previous prime is 12221413093. The next prime is 12221413121. The reversal of 12221413120 is 2131412221.

12221413120 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 (12221413121) 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 15 ways as a sum of consecutive naturals, for example, 3967741 + ... + 3970819.

It is an arithmetic number, because the mean of its divisors is an integer number (232934240).

Almost surely, 2^12221413120 is an apocalyptic number.

12221413120 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 12221413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771265280).

12221413120 is an abundant number, since it is smaller than the sum of its proper divisors (21321117440).

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

12221413120 is an equidigital number, since it uses as much as digits as its factorization.

12221413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12221413120 its reverse (2131412221), we get a palindrome (14352825341).

The spelling of 12221413120 in words is "twelve billion, two hundred twenty-one million, four hundred thirteen thousand, one hundred twenty".