11122201444320 has 1152 divisors, whose sum is σ = 41311573115904. Its totient is φ = 2718096556032.

The previous prime is 11122201444309. The next prime is 11122201444327. The reversal of 11122201444320 is 2344410222111.

11122201444320 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 220 + 1 + 4 + 4 + 432 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122201444327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14132402967 + ... + 14132403753.

It is an arithmetic number, because the mean of its divisors is an integer number (35860740552).

Almost surely, 2^{11122201444320} is an apocalyptic number.

11122201444320 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 11122201444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20655786557952).

11122201444320 is an abundant number, since it is smaller than the sum of its proper divisors (30189371671584).

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

11122201444320 is a wasteful number, since it uses less digits than its factorization.

11122201444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11122201444320 its reverse (2344410222111), we get a palindrome (13466611666431).

The spelling of 11122201444320 in words is "eleven trillion, one hundred twenty-two billion, two hundred one million, four hundred forty-four thousand, three hundred twenty".