220000321200 has 240 divisors, whose sum is σ = 770137958016. Its totient is φ = 53240678400.

The previous prime is 220000321153. The next prime is 220000321201. The reversal of 220000321200 is 2123000022.

220000321200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (220000321201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7734204 + ... + 7762596.

Almost surely, 2^220000321200 is an apocalyptic number.

220000321200 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 220000321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385068979008).

220000321200 is an abundant number, since it is smaller than the sum of its proper divisors (550137636816).

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

220000321200 is a wasteful number, since it uses less digits than its factorization.

220000321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29012 (or 29001 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220000321200 its reverse (2123000022), we get a palindrome (222123321222).

The spelling of 220000321200 in words is "two hundred twenty billion, three hundred twenty-one thousand, two hundred".