11123325200 has 120 divisors (see below), whose sum is σ = 28853502216. Its totient is φ = 4096512000.

The previous prime is 11123325179. The next prime is 11123325221. The reversal of 11123325200 is 252332111.

It is an interprime number because it is at equal distance from previous prime (11123325179) and next prime (11123325221).

It can be written as a sum of positive squares in 12 ways, for example, as 10276282384 + 847042816 = 101372^2 + 29104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2186660 + ... + 2191740.

Almost surely, 2^11123325200 is an apocalyptic number.

11123325200 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 11123325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426751108).

11123325200 is an abundant number, since it is smaller than the sum of its proper divisors (17730177016).

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

11123325200 is a wasteful number, since it uses less digits than its factorization.

11123325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11123325200 its reverse (252332111), we get a palindrome (11375657311).

The spelling of 11123325200 in words is "eleven billion, one hundred twenty-three million, three hundred twenty-five thousand, two hundred".