11300203200 has 672 divisors, whose sum is σ = 44256667392. Its totient is φ = 2488320000.

The previous prime is 11300203181. The next prime is 11300203217. The reversal of 11300203200 is 230200311.

It is a happy number.

It is a super-2 number, since 2×11300203200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69326319 + ... + 69326481.

It is an arithmetic number, because the mean of its divisors is an integer number (65858136).

Almost surely, 2^11300203200 is an apocalyptic number.

11300203200 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 11300203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128333696).

11300203200 is an abundant number, since it is smaller than the sum of its proper divisors (32956464192).

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

11300203200 is a wasteful number, since it uses less digits than its factorization.

11300203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11300203200 its reverse (230200311), we get a palindrome (11530403511).

The spelling of 11300203200 in words is "eleven billion, three hundred million, two hundred three thousand, two hundred".