12001222221120 has 252 divisors, whose sum is σ = 45373010597460. Its totient is φ = 2909387120640.

The previous prime is 12001222221103. The next prime is 12001222221167. The reversal of 12001222221120 is 2112222210021.

It is a happy number.

12001222221120 is a `hidden beast` number, since 1 + 200 + 1 + 222 + 221 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3691747217664 + 8309475003456 = 1921392^2 + 2882616^2 .

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 = 12001222221093 and 12001222221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16870905 + ... + 17567864.

It is an arithmetic number, because the mean of its divisors is an integer number (180051629355).

Almost surely, 2^{12001222221120} is an apocalyptic number.

12001222221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222221120 is an abundant number, since it is smaller than the sum of its proper divisors (33371788376340).

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

12001222221120 is a wasteful number, since it uses less digits than its factorization.

12001222221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34438814 (or 34438790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12001222221120 its reverse (2112222210021), we get a palindrome (14113444431141).

The spelling of 12001222221120 in words is "twelve trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".