11212000 has 48 divisors (see below), whose sum is σ = 27557712. Its totient is φ = 4483200.

The previous prime is 11211989. The next prime is 11212001. The reversal of 11212000 is 21211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2599 + ... + 5401.

It is an arithmetic number, because the mean of its divisors is an integer number (574119).

Almost surely, 2^11212000 is an apocalyptic number.

11212000 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 11212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778856).

11212000 is an abundant number, since it is smaller than the sum of its proper divisors (16345712).

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

11212000 is an equidigital number, since it uses as much as digits as its factorization.

11212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2810 counting only the distinct ones).

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

The square root of 11212000 is about 3348.4324690816. The cubic root of 11212000 is about 223.8176662483.

Adding to 11212000 its reverse (21211), we get a palindrome (11233211).

The spelling of 11212000 in words is "eleven million, two hundred twelve thousand".