11321101120 has 168 divisors, whose sum is σ = 31540902120. Its totient is φ = 3859107840.

The previous prime is 11321101111. The next prime is 11321101133. The reversal of 11321101120 is 2110112311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12054784 + 11309046336 = 3472^2 + 106344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11321101120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2836086 + ... + 2840074.

It is an arithmetic number, because the mean of its divisors is an integer number (187743465).

Almost surely, 2^11321101120 is an apocalyptic number.

11321101120 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 11321101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770451060).

11321101120 is an abundant number, since it is smaller than the sum of its proper divisors (20219801000).

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

11321101120 is a wasteful number, since it uses less digits than its factorization.

11321101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11321101120 its reverse (2110112311), we get a palindrome (13431213431).

The spelling of 11321101120 in words is "eleven billion, three hundred twenty-one million, one hundred one thousand, one hundred twenty".