11121112120200 has 48 divisors (see below), whose sum is σ = 34475447574480. Its totient is φ = 2965629898560.

The previous prime is 11121112120187. The next prime is 11121112120201. The reversal of 11121112120200 is 202121112111.

It is a happy number.

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 11121112120200.

It is not an unprimeable number, because it can be changed into a prime (11121112120201) 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, 9267592834 + ... + 9267594033.

It is an arithmetic number, because the mean of its divisors is an integer number (718238491135).

Almost surely, 2^{11121112120200} is an apocalyptic number.

11121112120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121112120200 is an abundant number, since it is smaller than the sum of its proper divisors (23354335454280).

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

11121112120200 is a wasteful number, since it uses less digits than its factorization.

11121112120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18535186886 (or 18535186877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11121112120200 its reverse (202121112111), we get a palindrome (11323233232311).

The spelling of 11121112120200 in words is "eleven trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, two hundred".