220210211120 has 120 divisors (see below), whose sum is σ = 520866104400. Its totient is φ = 86578816000.

The previous prime is 220210211113. The next prime is 220210211159. The reversal of 220210211120 is 21112012022.

It is a junction number, because it is equal to n+sod(n) for n = 220210211095 and 220210211104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121595015 + ... + 121596825.

It is an arithmetic number, because the mean of its divisors is an integer number (4340550870).

Almost surely, 2^220210211120 is an apocalyptic number.

220210211120 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 220210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260433052200).

220210211120 is an abundant number, since it is smaller than the sum of its proper divisors (300655893280).

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

220210211120 is a wasteful number, since it uses less digits than its factorization.

220210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220210211120 its reverse (21112012022), we get a palindrome (241322223142).

The spelling of 220210211120 in words is "two hundred twenty billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".