11121303200 has 144 divisors (see below), whose sum is σ = 31492609344. Its totient is φ = 3755980800.

The previous prime is 11121303197. The next prime is 11121303203. The reversal of 11121303200 is 230312111.

It is an interprime number because it is at equal distance from previous prime (11121303197) and next prime (11121303203).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11121303203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360380 + ... + 390020.

It is an arithmetic number, because the mean of its divisors is an integer number (218698676).

Almost surely, 2^11121303200 is an apocalyptic number.

11121303200 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 11121303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746304672).

11121303200 is an abundant number, since it is smaller than the sum of its proper divisors (20371306144).

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

11121303200 is a wasteful number, since it uses less digits than its factorization.

11121303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29735 (or 29722 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11121303200 its reverse (230312111), we get a palindrome (11351615311).

The spelling of 11121303200 in words is "eleven billion, one hundred twenty-one million, three hundred three thousand, two hundred".