11132405200 has 120 divisors (see below), whose sum is σ = 30598363008. Its totient is φ = 3812835840.

The previous prime is 11132405161. The next prime is 11132405213. The reversal of 11132405200 is 250423111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4179069 + ... + 4181731.

Almost surely, 2^11132405200 is an apocalyptic number.

11132405200 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 11132405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299181504).

11132405200 is an abundant number, since it is smaller than the sum of its proper divisors (19465957808).

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

11132405200 is a wasteful number, since it uses less digits than its factorization.

11132405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11132405200 its reverse (250423111), we get a palindrome (11382828311).

The spelling of 11132405200 in words is "eleven billion, one hundred thirty-two million, four hundred five thousand, two hundred".