11132000211200 has 216 divisors, whose sum is σ = 30091466272896. Its totient is φ = 4043533312000.

The previous prime is 11132000211191. The next prime is 11132000211239. The reversal of 11132000211200 is 211200023111.

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, 64047614 + ... + 64221186.

It is an arithmetic number, because the mean of its divisors is an integer number (139312343856).

Almost surely, 2^{11132000211200} is an apocalyptic number.

11132000211200 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 11132000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045733136448).

11132000211200 is an abundant number, since it is smaller than the sum of its proper divisors (18959466061696).

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

11132000211200 is a wasteful number, since it uses less digits than its factorization.

11132000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174521 (or 174502 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11132000211200 its reverse (211200023111), we get a palindrome (11343200234311).

The spelling of 11132000211200 in words is "eleven trillion, one hundred thirty-two billion, two hundred eleven thousand, two hundred".