220020111120 has 240 divisors, whose sum is σ = 704864350080. Its totient is φ = 56766302208.

The previous prime is 220020111071. The next prime is 220020111137. The reversal of 220020111120 is 21111020022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220020111096 and 220020111105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47181909 + ... + 47186571.

It is an arithmetic number, because the mean of its divisors is an integer number (2936934792).

Almost surely, 2^220020111120 is an apocalyptic number.

220020111120 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 220020111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352432175040).

220020111120 is an abundant number, since it is smaller than the sum of its proper divisors (484844238960).

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

220020111120 is a wasteful number, since it uses less digits than its factorization.

220020111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220020111120 its reverse (21111020022), we get a palindrome (241131131142).

The spelling of 220020111120 in words is "two hundred twenty billion, twenty million, one hundred eleven thousand, one hundred twenty".