11332121032000 has 224 divisors, whose sum is σ = 28558798295040. Its totient is φ = 4453032499200.

The previous prime is 11332121031983. The next prime is 11332121032007. The reversal of 11332121032000 is 23012123311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332121032007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784928782 + ... + 784943218.

Almost surely, 2^{11332121032000} is an apocalyptic number.

11332121032000 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 11332121032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279399147520).

11332121032000 is an abundant number, since it is smaller than the sum of its proper divisors (17226677263040).

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

11332121032000 is a wasteful number, since it uses less digits than its factorization.

11332121032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16186 (or 16166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11332121032000 its reverse (23012123311), we get a palindrome (11355133155311).

The spelling of 11332121032000 in words is "eleven trillion, three hundred thirty-two billion, one hundred twenty-one million, thirty-two thousand".