2201112211200 has 432 divisors, whose sum is σ = 8319155873280. Its totient is φ = 502063349760.

The previous prime is 2201112211171. The next prime is 2201112211237. The reversal of 2201112211200 is 21122111022.

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 2201112211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65435986 + ... + 65469614.

Almost surely, 2^{2201112211200} is an apocalyptic number.

2201112211200 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 2201112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159577936640).

2201112211200 is an abundant number, since it is smaller than the sum of its proper divisors (6118043662080).

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

2201112211200 is a wasteful number, since it uses less digits than its factorization.

2201112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34152 (or 34133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2201112211200 its reverse (21122111022), we get a palindrome (2222234322222).

The spelling of 2201112211200 in words is "two trillion, two hundred one billion, one hundred twelve million, two hundred eleven thousand, two hundred".