11222211200200 has 384 divisors, whose sum is σ = 37092858405120. Its totient is φ = 3038839603200.

The previous prime is 11222211200197. The next prime is 11222211200219. The reversal of 11222211200200 is 200211222211.

It is a happy number.

11222211200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1754724 + ... + 5052076.

It is an arithmetic number, because the mean of its divisors is an integer number (96595985430).

Almost surely, 2^{11222211200200} is an apocalyptic number.

11222211200200 is a gapful number since it is divisible by the number (10) 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 11222211200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18546429202560).

11222211200200 is an abundant number, since it is smaller than the sum of its proper divisors (25870647204920).

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

11222211200200 is a wasteful number, since it uses less digits than its factorization.

11222211200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297417 (or 3297408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11222211200200 its reverse (200211222211), we get a palindrome (11422422422411).

It can be divided in two parts, 11222211 and 200200, that added together give a palindrome (11422411).

The spelling of 11222211200200 in words is "eleven trillion, two hundred twenty-two billion, two hundred eleven million, two hundred thousand, two hundred".