220221110122120 has 128 divisors (see below), whose sum is σ = 526394998080000. Its totient is φ = 82630370820096.

The previous prime is 220221110122081. The next prime is 220221110122121. The reversal of 220221110122120 is 21221011122022.

It is not an unprimeable number, because it can be changed into a prime (220221110122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479610487 + ... + 480069433.

It is an arithmetic number, because the mean of its divisors is an integer number (4112460922500).

Almost surely, 2^{220221110122120} is an apocalyptic number.

220221110122120 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 220221110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263197499040000).

220221110122120 is an abundant number, since it is smaller than the sum of its proper divisors (306173887957880).

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

220221110122120 is a wasteful number, since it uses less digits than its factorization.

220221110122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461327 (or 461323 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220221110122120 its reverse (21221011122022), we get a palindrome (241442121244142).

The spelling of 220221110122120 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".