11321200000 has 384 divisors, whose sum is σ = 32127943680. Its totient is φ = 3936000000.

The previous prime is 11321199979. The next prime is 11321200013. The reversal of 11321200000 is 212311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11321200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136399959 + ... + 136400041.

It is an arithmetic number, because the mean of its divisors is an integer number (83666520).

Almost surely, 2^11321200000 is an apocalyptic number.

11321200000 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 11321200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

11321200000 is an abundant number, since it is smaller than the sum of its proper divisors (20806743680).

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

11321200000 is an frugal number, since it uses more digits than its factorization.

11321200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11321200000 its reverse (212311), we get a palindrome (11321412311).

The spelling of 11321200000 in words is "eleven billion, three hundred twenty-one million, two hundred thousand".