11242800 has 150 divisors (see below), whose sum is σ = 40465788. Its totient is φ = 2989440.

The previous prime is 11242793. The next prime is 11242817. The reversal of 11242800 is 824211.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32227 + ... + 32573.

Almost surely, 2^11242800 is an apocalyptic number.

11242800 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 11242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232894).

11242800 is an abundant number, since it is smaller than the sum of its proper divisors (29222988).

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

11242800 is a wasteful number, since it uses less digits than its factorization.

11242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11242800 is about 3353.0284818355. The cubic root of 11242800 is about 224.0224254759.

The spelling of 11242800 in words is "eleven million, two hundred forty-two thousand, eight hundred".