11201233200 has 120 divisors (see below), whose sum is σ = 36069881856. Its totient is φ = 2971296000.

The previous prime is 11201233189. The next prime is 11201233231. The reversal of 11201233200 is 233210211.

It is a tau number, because it is divible by the number of its divisors (120).

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 11201233200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204765 + ... + 253635.

Almost surely, 2^11201233200 is an apocalyptic number.

11201233200 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 11201233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034940928).

11201233200 is an abundant number, since it is smaller than the sum of its proper divisors (24868648656).

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

11201233200 is a wasteful number, since it uses less digits than its factorization.

11201233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49083 (or 49072 counting only the distinct ones).

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

Adding to 11201233200 its reverse (233210211), we get a palindrome (11434443411).

The spelling of 11201233200 in words is "eleven billion, two hundred one million, two hundred thirty-three thousand, two hundred".