11332132000 has 576 divisors, whose sum is σ = 36300700800. Its totient is φ = 3444940800.

The previous prime is 11332131971. The next prime is 11332132001. The reversal of 11332132000 is 23123311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11332132001) 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, 63307911 + ... + 63308089.

It is an arithmetic number, because the mean of its divisors is an integer number (63022050).

Almost surely, 2^11332132000 is an apocalyptic number.

11332132000 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 11332132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150350400).

11332132000 is an abundant number, since it is smaller than the sum of its proper divisors (24968568800).

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

11332132000 is a wasteful number, since it uses less digits than its factorization.

11332132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11332132000 its reverse (23123311), we get a palindrome (11355255311).

The spelling of 11332132000 in words is "eleven billion, three hundred thirty-two million, one hundred thirty-two thousand".