220321132200 has 288 divisors, whose sum is σ = 843701859000. Its totient is φ = 51042631680.

The previous prime is 220321132193. The next prime is 220321132211. The reversal of 220321132200 is 2231123022.

220321132200 is a `hidden beast` number, since 2 + 20 + 321 + 1 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28545454116 + 191775678084 = 168954^2 + 437922^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120876 + ... + 674724.

Almost surely, 2^220321132200 is an apocalyptic number.

220321132200 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 220321132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421850929500).

220321132200 is an abundant number, since it is smaller than the sum of its proper divisors (623380726800).

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

220321132200 is a wasteful number, since it uses less digits than its factorization.

220321132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553901 (or 553889 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220321132200 its reverse (2231123022), we get a palindrome (222552255222).

The spelling of 220321132200 in words is "two hundred twenty billion, three hundred twenty-one million, one hundred thirty-two thousand, two hundred".