1121200211200 has 108 divisors (see below), whose sum is σ = 2938389860700. Its totient is φ = 422098862080.

The previous prime is 1121200211171. The next prime is 1121200211203. The reversal of 1121200211200 is 21120021211.

It can be written as a sum of positive squares in 6 ways, for example, as 125962527744 + 995237683456 = 354912^2 + 997616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121200211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5043775 + ... + 5261374.

It is an arithmetic number, because the mean of its divisors is an integer number (27207313525).

Almost surely, 2^{1121200211200} is an apocalyptic number.

1121200211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121200211200 is an abundant number, since it is smaller than the sum of its proper divisors (1817189649500).

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

1121200211200 is a wasteful number, since it uses less digits than its factorization.

1121200211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305192 (or 10305173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1121200211200 its reverse (21120021211), we get a palindrome (1142320232411).

The spelling of 1121200211200 in words is "one trillion, one hundred twenty-one billion, two hundred million, two hundred eleven thousand, two hundred".