220200011313320 has 128 divisors (see below), whose sum is σ = 529189620176160. Its totient is φ = 82175137873920.

The previous prime is 220200011313299. The next prime is 220200011313413. The reversal of 220200011313320 is 23313110002022.

It can be written as a sum of positive squares in 16 ways, for example, as 12669883632484 + 207530127680836 = 3559478^2 + 14405906^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220200011313292 and 220200011313301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42496352 + ... + 47395568.

Almost surely, 2^{220200011313320} is an apocalyptic number.

220200011313320 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 220200011313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264594810088080).

220200011313320 is an abundant number, since it is smaller than the sum of its proper divisors (308989608862840).

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

220200011313320 is a wasteful number, since it uses less digits than its factorization.

220200011313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899823 (or 4899819 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220200011313320 its reverse (23313110002022), we get a palindrome (243513121315342).

The spelling of 220200011313320 in words is "two hundred twenty trillion, two hundred billion, eleven million, three hundred thirteen thousand, three hundred twenty".