11821800 has 192 divisors, whose sum is σ = 41515200. Its totient is φ = 2764800.

The previous prime is 11821787. The next prime is 11821841. The reversal of 11821800 is 812811.

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 47 ways as a sum of consecutive naturals, for example, 193770 + ... + 193830.

It is an arithmetic number, because the mean of its divisors is an integer number (216225).

Almost surely, 2^11821800 is an apocalyptic number.

11821800 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 11821800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).

11821800 is an abundant number, since it is smaller than the sum of its proper divisors (29693400).

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

11821800 is a wasteful number, since it uses less digits than its factorization.

11821800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 11821800 is about 3438.2844559460. The cubic root of 11821800 is about 227.8039249954.

It can be divided in two parts, 11821 and 800, that added together give a palindrome (12621).

The spelling of 11821800 in words is "eleven million, eight hundred twenty-one thousand, eight hundred".