11321100303120 has 240 divisors, whose sum is σ = 38198420769600. Its totient is φ = 3004802620416.

The previous prime is 11321100303031. The next prime is 11321100303137. The reversal of 11321100303120 is 2130300112311.

11321100303120 is a `hidden beast` number, since 1 + 1 + 321 + 1 + 0 + 0 + 30 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11321100303093 and 11321100303102.

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, 743480947 + ... + 743496173.

It is an arithmetic number, because the mean of its divisors is an integer number (159160086540).

Almost surely, 2^{11321100303120} is an apocalyptic number.

11321100303120 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 11321100303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099210384800).

11321100303120 is an abundant number, since it is smaller than the sum of its proper divisors (26877320466480).

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

11321100303120 is a wasteful number, since it uses less digits than its factorization.

11321100303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20013 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11321100303120 its reverse (2130300112311), we get a palindrome (13451400415431).

The spelling of 11321100303120 in words is "eleven trillion, three hundred twenty-one billion, one hundred million, three hundred three thousand, one hundred twenty".