11256200 has 48 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 4304960.

The previous prime is 11256199. The next prime is 11256221. The reversal of 11256200 is 265211.

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, 3377 + ... + 5823.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 2^11256200 is an apocalyptic number.

11256200 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 11256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

11256200 is an abundant number, since it is smaller than the sum of its proper divisors (16063480).

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

11256200 is a wasteful number, since it uses less digits than its factorization.

11256200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11256200 is about 3355.0260803755. The cubic root of 11256200 is about 224.1113923009. Note that the first 3 decimals are identical.

The spelling of 11256200 in words is "eleven million, two hundred fifty-six thousand, two hundred".