11201002320 has 80 divisors (see below), whose sum is σ = 34771024512. Its totient is φ = 2982812160.

The previous prime is 11201002291. The next prime is 11201002331. The reversal of 11201002320 is 2320010211.

11201002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11201002296 and 11201002305.

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, 144085 + ... + 207755.

Almost surely, 2^11201002320 is an apocalyptic number.

11201002320 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 11201002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385512256).

11201002320 is an abundant number, since it is smaller than the sum of its proper divisors (23570022192).

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

11201002320 is a wasteful number, since it uses less digits than its factorization.

11201002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64420 (or 64414 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11201002320 its reverse (2320010211), we get a palindrome (13521012531).

The spelling of 11201002320 in words is "eleven billion, two hundred one million, two thousand, three hundred twenty".