11852000 has 48 divisors (see below), whose sum is σ = 29130192. Its totient is φ = 4739200.

The previous prime is 11851997. The next prime is 11852017. The reversal of 11852000 is 25811.

It is a self number, because there is not a number n which added to its sum of digits gives 11852000.

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 7 ways as a sum of consecutive naturals, for example, 2519 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (606879).

Almost surely, 2^11852000 is an apocalyptic number.

11852000 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 11852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565096).

11852000 is an abundant number, since it is smaller than the sum of its proper divisors (17278192).

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

11852000 is an equidigital number, since it uses as much as digits as its factorization.

11852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 11852000 is about 3442.6733798024. The cubic root of 11852000 is about 227.9977428729.

Adding to 11852000 its reverse (25811), we get a palindrome (11877811).

The spelling of 11852000 in words is "eleven million, eight hundred fifty-two thousand".