11300311200 has 72 divisors (see below), whose sum is σ = 36782520768. Its totient is φ = 3013415680.

The previous prime is 11300311181. The next prime is 11300311201. The reversal of 11300311200 is 211300311.

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

It is not an unprimeable number, because it can be changed into a prime (11300311201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2351832 + ... + 2356631.

It is an arithmetic number, because the mean of its divisors is an integer number (510868344).

Almost surely, 2^11300311200 is an apocalyptic number.

11300311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300311200 is an abundant number, since it is smaller than the sum of its proper divisors (25482209568).

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

11300311200 is a wasteful number, since it uses less digits than its factorization.

11300311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708486 (or 4708473 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11300311200 its reverse (211300311), we get a palindrome (11511611511).

The spelling of 11300311200 in words is "eleven billion, three hundred million, three hundred eleven thousand, two hundred".