220221212202120 has 128 divisors (see below), whose sum is σ = 672234413328000. Its totient is φ = 57698248550400.

The previous prime is 220221212202113. The next prime is 220221212202143. The reversal of 220221212202120 is 21202212122022.

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 31 ways as a sum of consecutive naturals, for example, 4115686 + ... + 21386474.

It is an arithmetic number, because the mean of its divisors is an integer number (5251831354125).

Almost surely, 2^{220221212202120} is an apocalyptic number.

220221212202120 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 220221212202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117206664000).

220221212202120 is an abundant number, since it is smaller than the sum of its proper divisors (452013201125880).

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

220221212202120 is a wasteful number, since it uses less digits than its factorization.

220221212202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272663 (or 17272659 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220221212202120 its reverse (21202212122022), we get a palindrome (241423424324142).

The spelling of 220221212202120 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred twelve million, two hundred two thousand, one hundred twenty".