11241213200 has 240 divisors, whose sum is σ = 33905925120. Its totient is φ = 3492149760.

The previous prime is 11241213197. The next prime is 11241213227. The reversal of 11241213200 is 231214211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219007 + ... + 1228193.

It is an arithmetic number, because the mean of its divisors is an integer number (141274688).

Almost surely, 2^11241213200 is an apocalyptic number.

11241213200 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 11241213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952962560).

11241213200 is an abundant number, since it is smaller than the sum of its proper divisors (22664711920).

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

11241213200 is a wasteful number, since it uses less digits than its factorization.

11241213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9254 (or 9243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11241213200 its reverse (231214211), we get a palindrome (11472427411).

The spelling of 11241213200 in words is "eleven billion, two hundred forty-one million, two hundred thirteen thousand, two hundred".