11251200 has 120 divisors (see below), whose sum is σ = 37294488. Its totient is φ = 2990080.

The previous prime is 11251199. The next prime is 11251213. The reversal of 11251200 is 215211.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38254 + ... + 38546.

Almost surely, 2^11251200 is an apocalyptic number.

11251200 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 11251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647244).

11251200 is an abundant number, since it is smaller than the sum of its proper divisors (26043288).

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

11251200 is an equidigital number, since it uses as much as digits as its factorization.

11251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

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

The square root of 11251200 is about 3354.2808469179. The cubic root of 11251200 is about 224.0782039864.

Adding to 11251200 its reverse (215211), we get a palindrome (11466411).

The spelling of 11251200 in words is "eleven million, two hundred fifty-one thousand, two hundred".