11125200 has 120 divisors (see below), whose sum is σ = 36410368. Its totient is φ = 2903040.

The previous prime is 11125199. The next prime is 11125201. The reversal of 11125200 is 252111.

It is an interprime number because it is at equal distance from previous prime (11125199) and next prime (11125201).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11125201) 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, 87537 + ... + 87663.

Almost surely, 2^11125200 is an apocalyptic number.

11125200 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 11125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18205184).

11125200 is an abundant number, since it is smaller than the sum of its proper divisors (25285168).

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

11125200 is a wasteful number, since it uses less digits than its factorization.

11125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11125200 is about 3335.4459971644. The cubic root of 11125200 is about 223.2385925225.

Adding to 11125200 its reverse (252111), we get a palindrome (11377311).

It can be divided in two parts, 11125 and 200, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 11125200 in words is "eleven million, one hundred twenty-five thousand, two hundred".