11822500 has 30 divisors (see below), whose sum is σ = 25858910. Its totient is φ = 4728000.

The previous prime is 11822491. The next prime is 11822507. The reversal of 11822500 is 522811.

It can be written as a sum of positive squares in 5 ways, for example, as 8340544 + 3481956 = 2888^2 + 1866^2 .

It is not an unprimeable number, because it can be changed into a prime (11822507) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 136 + ... + 4864.

Almost surely, 2^11822500 is an apocalyptic number.

11822500 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 11822500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929455).

11822500 is an abundant number, since it is smaller than the sum of its proper divisors (14036410).

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

11822500 is an equidigital number, since it uses as much as digits as its factorization.

11822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 11822500 is about 3438.3862493908. The cubic root of 11822500 is about 227.8084211973.

The spelling of 11822500 in words is "eleven million, eight hundred twenty-two thousand, five hundred".