2212000 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 748800.

The previous prime is 2211997. The next prime is 2212003. The reversal of 2212000 is 2122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2211997) and next prime (2212003).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (2212003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27961 + ... + 28039.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^2212000 is an apocalyptic number.

2212000 is a gapful number since it is divisible by the number (20) 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 2212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2212000 is an abundant number, since it is smaller than the sum of its proper divisors (4077920).

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

2212000 is an equidigital number, since it uses as much as digits as its factorization.

2212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2212000 is about 1487.2793954063. The cubic root of 2212000 is about 130.2951872079.

Adding to 2212000 its reverse (2122), we get a palindrome (2214122).

The spelling of 2212000 in words is "two million, two hundred twelve thousand".