220133120 has 72 divisors (see below), whose sum is σ = 530295360. Its totient is φ = 87552000.

The previous prime is 220133117. The next prime is 220133131. The reversal of 220133120 is 21331022.

It is a happy number.

220133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220133095 and 220133104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292745 + ... + 293495.

Almost surely, 2^220133120 is an apocalyptic number.

220133120 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 220133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265147680).

220133120 is an abundant number, since it is smaller than the sum of its proper divisors (310162240).

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

220133120 is an equidigital number, since it uses as much as digits as its factorization.

220133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 220133120 is about 14836.8837698487. The cubic root of 220133120 is about 603.8028097725.

Adding to 220133120 its reverse (21331022), we get a palindrome (241464142).

The spelling of 220133120 in words is "two hundred twenty million, one hundred thirty-three thousand, one hundred twenty".