12311221120 has 128 divisors (see below), whose sum is σ = 32216071680. Its totient is φ = 4461619200.

The previous prime is 12311221093. The next prime is 12311221127. The reversal of 12311221120 is 2112211321.

12311221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 12311221094 and 12311221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311221127) 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, 2186629 + ... + 2192251.

It is an arithmetic number, because the mean of its divisors is an integer number (251688060).

Almost surely, 2^12311221120 is an apocalyptic number.

12311221120 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 12311221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108035840).

12311221120 is an abundant number, since it is smaller than the sum of its proper divisors (19904850560).

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

12311221120 is a wasteful number, since it uses less digits than its factorization.

12311221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12311221120 its reverse (2112211321), we get a palindrome (14423432441).

The spelling of 12311221120 in words is "twelve billion, three hundred eleven million, two hundred twenty-one thousand, one hundred twenty".