11120132203200 has 504 divisors, whose sum is σ = 40738861577232. Its totient is φ = 2874769367040.

The previous prime is 11120132203199. The next prime is 11120132203253. The reversal of 11120132203200 is 230223102111.

11120132203200 is a `hidden beast` number, since 1 + 1 + 1 + 20 + 1 + 322 + 0 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147547927 + ... + 147623273.

It is an arithmetic number, because the mean of its divisors is an integer number (80831074558).

Almost surely, 2^{11120132203200} is an apocalyptic number.

11120132203200 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 11120132203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369430788616).

11120132203200 is an abundant number, since it is smaller than the sum of its proper divisors (29618729374032).

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

11120132203200 is a wasteful number, since it uses less digits than its factorization.

11120132203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75689 (or 75671 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11120132203200 its reverse (230223102111), we get a palindrome (11350355305311).

The spelling of 11120132203200 in words is "eleven trillion, one hundred twenty billion, one hundred thirty-two million, two hundred three thousand, two hundred".