11103121200 has 480 divisors, whose sum is σ = 40385986560. Its totient is φ = 2592691200.

The previous prime is 11103121157. The next prime is 11103121201. The reversal of 11103121200 is 212130111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11103121201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16256059 + ... + 16256741.

It is an arithmetic number, because the mean of its divisors is an integer number (84137472).

Almost surely, 2^11103121200 is an apocalyptic number.

11103121200 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 11103121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192993280).

11103121200 is an abundant number, since it is smaller than the sum of its proper divisors (29282865360).

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

11103121200 is a wasteful number, since it uses less digits than its factorization.

11103121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11103121200 its reverse (212130111), we get a palindrome (11315251311).

It can be divided in two parts, 111031 and 21200, that added together give a palindrome (132231).

The spelling of 11103121200 in words is "eleven billion, one hundred three million, one hundred twenty-one thousand, two hundred".