2200221311200 has 216 divisors, whose sum is σ = 5906667324096. Its totient is φ = 799716403200.

The previous prime is 2200221311177. The next prime is 2200221311209. The reversal of 2200221311200 is 21131220022.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200221311209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306562012 + ... + 306569188.

It is an arithmetic number, because the mean of its divisors is an integer number (27345682056).

Almost surely, 2^{2200221311200} is an apocalyptic number.

2200221311200 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 2200221311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953333662048).

2200221311200 is an abundant number, since it is smaller than the sum of its proper divisors (3706446012896).

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

2200221311200 is a wasteful number, since it uses less digits than its factorization.

2200221311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10386 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2200221311200 its reverse (21131220022), we get a palindrome (2221352531222).

The spelling of 2200221311200 in words is "two trillion, two hundred billion, two hundred twenty-one million, three hundred eleven thousand, two hundred".