11121112101200 has 60 divisors (see below), whose sum is σ = 26719163807520. Its totient is φ = 4448329630080.

The previous prime is 11121112101131. The next prime is 11121112101217. The reversal of 11121112101200 is 210121112111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16036037 + ... + 16715163.

It is an arithmetic number, because the mean of its divisors is an integer number (445319396792).

Almost surely, 2^{11121112101200} is an apocalyptic number.

11121112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121112101200 is an abundant number, since it is smaller than the sum of its proper divisors (15598051706320).

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

11121112101200 is a wasteful number, since it uses less digits than its factorization.

11121112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720084 (or 720073 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121112101200 its reverse (210121112111), we get a palindrome (11331233213311).

The spelling of 11121112101200 in words is "eleven trillion, one hundred twenty-one billion, one hundred twelve million, one hundred one thousand, two hundred".