2200221211200 has 168 divisors, whose sum is σ = 7225366588608. Its totient is φ = 586172344320.

The previous prime is 2200221211189. The next prime is 2200221211219. The reversal of 2200221211200 is 21121220022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200221211200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4886794 + ... + 5318006.

It is an arithmetic number, because the mean of its divisors is an integer number (43008134456).

Almost surely, 2^{2200221211200} is an apocalyptic number.

2200221211200 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 2200221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612683294304).

2200221211200 is an abundant number, since it is smaller than the sum of its proper divisors (5025145377408).

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

2200221211200 is a wasteful number, since it uses less digits than its factorization.

2200221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432301 (or 432286 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2200221211200 its reverse (21121220022), we get a palindrome (2221342431222).

The spelling of 2200221211200 in words is "two trillion, two hundred billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".