11322013301120 has 128 divisors (see below), whose sum is σ = 27942674457600. Its totient is φ = 4382265047040.

The previous prime is 11322013301107. The next prime is 11322013301141. The reversal of 11322013301120 is 2110331022311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11322013301092 and 11322013301101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244941371 + ... + 244987589.

It is an arithmetic number, because the mean of its divisors is an integer number (218302144200).

Almost surely, 2^{11322013301120} is an apocalyptic number.

11322013301120 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 11322013301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971337228800).

11322013301120 is an abundant number, since it is smaller than the sum of its proper divisors (16620661156480).

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

11322013301120 is a wasteful number, since it uses less digits than its factorization.

11322013301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58616 (or 58604 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11322013301120 its reverse (2110331022311), we get a palindrome (13432344323431).

The spelling of 11322013301120 in words is "eleven trillion, three hundred twenty-two billion, thirteen million, three hundred one thousand, one hundred twenty".