11825000 has 96 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 4200000.

The previous prime is 11824997. The next prime is 11825017. The reversal of 11825000 is 52811.

It is a self number, because there is not a number n which added to its sum of digits gives 11825000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274979 + ... + 275021.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 2^11825000 is an apocalyptic number.

11825000 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 11825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

11825000 is an abundant number, since it is smaller than the sum of its proper divisors (19110520).

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

11825000 is an equidigital number, since it uses as much as digits as its factorization.

11825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

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

The square root of 11825000 is about 3438.7497728099. The cubic root of 11825000 is about 227.8244776127.

Adding to 11825000 its reverse (52811), we get a palindrome (11877811).

The spelling of 11825000 in words is "eleven million, eight hundred twenty-five thousand".