12221210221220 has 288 divisors, whose sum is σ = 36154471772160. Its totient is φ = 3363312775680.

The previous prime is 12221210221177. The next prime is 12221210221237. The reversal of 12221210221220 is 2212201212221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12221210221192 and 12221210221201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4965161 + ... + 7006799.

It is an arithmetic number, because the mean of its divisors is an integer number (125536360320).

Almost surely, 2^{12221210221220} is an apocalyptic number.

12221210221220 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 12221210221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18077235886080).

12221210221220 is an abundant number, since it is smaller than the sum of its proper divisors (23933261550940).

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

12221210221220 is a wasteful number, since it uses less digits than its factorization.

12221210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041715 (or 2041700 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12221210221220 its reverse (2212201212221), we get a palindrome (14433411433441).

The spelling of 12221210221220 in words is "twelve trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".