11321120000 has 180 divisors, whose sum is σ = 28471151940. Its totient is φ = 4491264000.

The previous prime is 11321119987. The next prime is 11321120003. The reversal of 11321120000 is 2112311.

It can be written as a sum of positive squares in 10 ways, for example, as 3455558656 + 7865561344 = 58784^2 + 88688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27679796 + ... + 27680204.

Almost surely, 2^11321120000 is an apocalyptic number.

11321120000 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 11321120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235575970).

11321120000 is an abundant number, since it is smaller than the sum of its proper divisors (17150031940).

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

11321120000 is an frugal number, since it uses more digits than its factorization.

11321120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11321120000 its reverse (2112311), we get a palindrome (11323232311).

The spelling of 11321120000 in words is "eleven billion, three hundred twenty-one million, one hundred twenty thousand".