11211011200 has 96 divisors (see below), whose sum is σ = 27730992960. Its totient is φ = 4478530560.

The previous prime is 11211011183. The next prime is 11211011219. The reversal of 11211011200 is 211011211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3092589 + ... + 3096211.

It is an arithmetic number, because the mean of its divisors is an integer number (288864510).

Almost surely, 2^11211011200 is an apocalyptic number.

11211011200 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 11211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865496480).

11211011200 is an abundant number, since it is smaller than the sum of its proper divisors (16519981760).

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

11211011200 is an equidigital number, since it uses as much as digits as its factorization.

11211011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11211011200 its reverse (211011211), we get a palindrome (11422022411).

It can be divided in two parts, 11211011 and 200, that added together give a palindrome (11211211).

The spelling of 11211011200 in words is "eleven billion, two hundred eleven million, eleven thousand, two hundred".