11132101200 has 480 divisors, whose sum is σ = 41732186112. Its totient is φ = 2509056000.

The previous prime is 11132101157. The next prime is 11132101213. The reversal of 11132101200 is 210123111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11232705 + ... + 11233695.

Almost surely, 2^11132101200 is an apocalyptic number.

11132101200 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 11132101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20866093056).

11132101200 is an abundant number, since it is smaller than the sum of its proper divisors (30600084912).

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

11132101200 is a wasteful number, since it uses less digits than its factorization.

11132101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

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

Adding to 11132101200 its reverse (210123111), we get a palindrome (11342224311).

The spelling of 11132101200 in words is "eleven billion, one hundred thirty-two million, one hundred one thousand, two hundred".