11332312000 has 112 divisors (see below), whose sum is σ = 28113703488. Its totient is φ = 4524979200.

The previous prime is 11332311983. The next prime is 11332312001. The reversal of 11332312000 is 21323311.

11332312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7095202 + ... + 7096798.

Almost surely, 2^11332312000 is an apocalyptic number.

11332312000 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 11332312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056851744).

11332312000 is an abundant number, since it is smaller than the sum of its proper divisors (16781391488).

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

11332312000 is an equidigital number, since it uses as much as digits as its factorization.

11332312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2491 counting only the distinct ones).

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

Adding to 11332312000 its reverse (21323311), we get a palindrome (11353635311).

The spelling of 11332312000 in words is "eleven billion, three hundred thirty-two million, three hundred twelve thousand".