11122000 has 80 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 4329600.

The previous prime is 11121989. The next prime is 11122003. The reversal of 11122000 is 22111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122003) 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 15 ways as a sum of consecutive naturals, for example, 133959 + ... + 134041.

Almost surely, 2^11122000 is an apocalyptic number.

11122000 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 11122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616).

11122000 is an abundant number, since it is smaller than the sum of its proper divisors (16501232).

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

11122000 is an equidigital number, since it uses as much as digits as its factorization.

11122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11122000 is about 3334.9662666960. The cubic root of 11122000 is about 223.2171867052.

Adding to 11122000 its reverse (22111), we get a palindrome (11144111).

The spelling of 11122000 in words is "eleven million, one hundred twenty-two thousand".