12221002221120 has 672 divisors, whose sum is σ = 52441339481856. Its totient is φ = 2537787801600.

The previous prime is 12221002221119. The next prime is 12221002221143. The reversal of 12221002221120 is 2112220012221.

It is a happy number.

12221002221120 is a `hidden beast` number, since 1 + 222 + 100 + 2 + 221 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 12221002221093 and 12221002221102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359455962 + ... + 359489958.

Almost surely, 2^{12221002221120} is an apocalyptic number.

12221002221120 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 12221002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26220669740928).

12221002221120 is an abundant number, since it is smaller than the sum of its proper divisors (40220337260736).

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

12221002221120 is a wasteful number, since it uses less digits than its factorization.

12221002221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35659 (or 35646 counting only the distinct ones).

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

Adding to 12221002221120 its reverse (2112220012221), we get a palindrome (14333222233341).

The spelling of 12221002221120 in words is "twelve trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand, one hundred twenty".