220012201221120 has 2376 divisors, whose sum is σ = 991340487774000. Its totient is φ = 44938666967040.

The previous prime is 220012201221091. The next prime is 220012201221157. The reversal of 220012201221120 is 21122102210022.

It is a happy number.

220012201221120 is a `hidden beast` number, since 2 + 200 + 1 + 220 + 1 + 221 + 1 + 20 = 666.

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 = 220012201221093 and 220012201221102.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 16119284056 + ... + 16119297704.

Almost surely, 2^{220012201221120} is an apocalyptic number.

220012201221120 is a gapful number since it is divisible by the number (20) 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 220012201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495670243887000).

220012201221120 is an abundant number, since it is smaller than the sum of its proper divisors (771328286552880).

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

220012201221120 is a wasteful number, since it uses less digits than its factorization.

220012201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13775 (or 13736 counting only the distinct ones).

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

Adding to 220012201221120 its reverse (21122102210022), we get a palindrome (241134303431142).

The spelling of 220012201221120 in words is "two hundred twenty trillion, twelve billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".