11123200320 has 112 divisors (see below), whose sum is σ = 35428537728. Its totient is φ = 2956748800.

The previous prime is 11123200307. The next prime is 11123200337. The reversal of 11123200320 is 2300232111.

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 11123200320.

It is a congruent number.

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, 286045 + ... + 322595.

Almost surely, 2^11123200320 is an apocalyptic number.

11123200320 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 11123200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714268864).

11123200320 is an abundant number, since it is smaller than the sum of its proper divisors (24305337408).

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

11123200320 is a wasteful number, since it uses less digits than its factorization.

11123200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36888 (or 36878 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11123200320 its reverse (2300232111), we get a palindrome (13423432431).

The spelling of 11123200320 in words is "eleven billion, one hundred twenty-three million, two hundred thousand, three hundred twenty".