220041120 has 192 divisors, whose sum is σ = 754427520. Its totient is φ = 53587968.

The previous prime is 220041119. The next prime is 220041127. The reversal of 220041120 is 21140022.

220041120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220041096 and 220041105.

It is not an unprimeable number, because it can be changed into a prime (220041127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116862 + ... + 1117058.

It is an arithmetic number, because the mean of its divisors is an integer number (3929310).

Almost surely, 2^220041120 is an apocalyptic number.

220041120 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 220041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377213760).

220041120 is an abundant number, since it is smaller than the sum of its proper divisors (534386400).

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

220041120 is a wasteful number, since it uses less digits than its factorization.

220041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220041120 is about 14833.7830643434. The cubic root of 220041120 is about 603.7186824969.

Adding to 220041120 its reverse (21140022), we get a palindrome (241181142).

The spelling of 220041120 in words is "two hundred twenty million, forty-one thousand, one hundred twenty".