11842200 has 240 divisors, whose sum is σ = 44561880. Its totient is φ = 2903040.

The previous prime is 11842189. The next prime is 11842247. The reversal of 11842200 is 224811.

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275379 + ... + 275421.

Almost surely, 2^11842200 is an apocalyptic number.

11842200 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 11842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280940).

11842200 is an abundant number, since it is smaller than the sum of its proper divisors (32719680).

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

11842200 is a wasteful number, since it uses less digits than its factorization.

11842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

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

The square root of 11842200 is about 3441.2497729749. The cubic root of 11842200 is about 227.9348844522.

The spelling of 11842200 in words is "eleven million, eight hundred forty-two thousand, two hundred".