220200331120 has 320 divisors, whose sum is σ = 668914329600. Its totient is φ = 65367244800.

The previous prime is 220200331093. The next prime is 220200331123. The reversal of 220200331120 is 21133002022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220200331094 and 220200331103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200331123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34141656 + ... + 34148104.

It is an arithmetic number, because the mean of its divisors is an integer number (2090357280).

Almost surely, 2^220200331120 is an apocalyptic number.

220200331120 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 220200331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334457164800).

220200331120 is an abundant number, since it is smaller than the sum of its proper divisors (448713998480).

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

220200331120 is a wasteful number, since it uses less digits than its factorization.

220200331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220200331120 its reverse (21133002022), we get a palindrome (241333333142).

The spelling of 220200331120 in words is "two hundred twenty billion, two hundred million, three hundred thirty-one thousand, one hundred twenty".