220333002120 has 960 divisors, whose sum is σ = 953560460160. Its totient is φ = 45113241600.

The previous prime is 220333002091. The next prime is 220333002121. The reversal of 220333002120 is 21200333022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220333002093 and 220333002102.

It is not an unprimeable number, because it can be changed into a prime (220333002121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 123990672 + ... + 123992448.

It is an arithmetic number, because the mean of its divisors is an integer number (993292146).

Almost surely, 2^220333002120 is an apocalyptic number.

220333002120 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 220333002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476780230080).

220333002120 is an abundant number, since it is smaller than the sum of its proper divisors (733227458040).

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

220333002120 is a wasteful number, since it uses less digits than its factorization.

220333002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220333002120 its reverse (21200333022), we get a palindrome (241533335142).

The spelling of 220333002120 in words is "two hundred twenty billion, three hundred thirty-three million, two thousand, one hundred twenty".