11275200 has 252 divisors, whose sum is σ = 42992040. Its totient is φ = 2903040.

The previous prime is 11275193. The next prime is 11275213. The reversal of 11275200 is 257211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388786 + ... + 388814.

Almost surely, 2^11275200 is an apocalyptic number.

11275200 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 11275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21496020).

11275200 is an abundant number, since it is smaller than the sum of its proper divisors (31716840).

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

11275200 is an equidigital number, since it uses as much as digits as its factorization.

11275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11275200 is about 3357.8564591120. The cubic root of 11275200 is about 224.2374183386.

The spelling of 11275200 in words is "eleven million, two hundred seventy-five thousand, two hundred".