220011120 has 160 divisors (see below), whose sum is σ = 866135040. Its totient is φ = 50284800.

The previous prime is 220011107. The next prime is 220011149. The reversal of 220011120 is 21110022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7845 + ... + 22395.

It is an arithmetic number, because the mean of its divisors is an integer number (5413344).

Almost surely, 2^220011120 is an apocalyptic number.

220011120 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 220011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433067520).

220011120 is an abundant number, since it is smaller than the sum of its proper divisors (646123920).

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

220011120 is a wasteful number, since it uses less digits than its factorization.

220011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14580 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 220011120 is about 14832.7718245782. The cubic root of 220011120 is about 603.6912446198.

Adding to 220011120 its reverse (21110022), we get a palindrome (241121142).

The spelling of 220011120 in words is "two hundred twenty million, eleven thousand, one hundred twenty".