220110221220120 has 1280 divisors, whose sum is σ = 954518668646400. Its totient is φ = 44144021053440.

The previous prime is 220110221220067. The next prime is 220110221220163. The reversal of 220110221220120 is 21022122011022.

It is a happy number.

220110221220120 is a `hidden beast` number, since 2 + 201 + 1 + 0 + 221 + 220 + 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 = 220110221220093 and 220110221220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38366777892 + ... + 38366783628.

It is an arithmetic number, because the mean of its divisors is an integer number (745717709880).

Almost surely, 2^{220110221220120} is an apocalyptic number.

220110221220120 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 220110221220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477259334323200).

220110221220120 is an abundant number, since it is smaller than the sum of its proper divisors (734408447426280).

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

220110221220120 is a wasteful number, since it uses less digits than its factorization.

220110221220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110 (or 11097 counting only the distinct ones).

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

Adding to 220110221220120 its reverse (21022122011022), we get a palindrome (241132343231142).

The spelling of 220110221220120 in words is "two hundred twenty trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty".