12223113120 has 144 divisors (see below), whose sum is σ = 41760842760. Its totient is φ = 3255631872.

The previous prime is 12223113037. The next prime is 12223113157. The reversal of 12223113120 is 2131132221.

12223113120 is a `hidden beast` number, since 122 + 231 + 1 + 312 + 0 = 666.

12223113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2247897744 + 9975215376 = 47412^2 + 99876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12223113120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12223113093 and 12223113102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1333192 + ... + 1342328.

Almost surely, 2^12223113120 is an apocalyptic number.

12223113120 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 12223113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20880421380).

12223113120 is an abundant number, since it is smaller than the sum of its proper divisors (29537729640).

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

12223113120 is a wasteful number, since it uses less digits than its factorization.

12223113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12223113120 its reverse (2131132221), we get a palindrome (14354245341).

The spelling of 12223113120 in words is "twelve billion, two hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".