11122120320 has 128 divisors (see below), whose sum is σ = 35711375040. Its totient is φ = 2944180224.

The previous prime is 11122120199. The next prime is 11122120363. The reversal of 11122120320 is 2302122111.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122120320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241899 + ... + 284181.

Almost surely, 2^11122120320 is an apocalyptic number.

11122120320 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 11122120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855687520).

11122120320 is an abundant number, since it is smaller than the sum of its proper divisors (24589254720).

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

11122120320 is a wasteful number, since it uses less digits than its factorization.

11122120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42442 (or 42430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11122120320 its reverse (2302122111), we get a palindrome (13424242431).

The spelling of 11122120320 in words is "eleven billion, one hundred twenty-two million, one hundred twenty thousand, three hundred twenty".