220200240000 has 960 divisors, whose sum is σ = 813460546800. Its totient is φ = 52715520000.

The previous prime is 220200239951. The next prime is 220200240079. The reversal of 220200240000 is 42002022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2474159956 + ... + 2474160044.

Almost surely, 2^220200240000 is an apocalyptic number.

220200240000 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 220200240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406730273400).

220200240000 is an abundant number, since it is smaller than the sum of its proper divisors (593260306800).

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

220200240000 is an equidigital number, since it uses as much as digits as its factorization.

220200240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 220200240000 its reverse (42002022), we get a palindrome (220242242022).

The spelling of 220200240000 in words is "two hundred twenty billion, two hundred million, two hundred forty thousand".