2122232000 has 112 divisors (see below), whose sum is σ = 6006681408. Its totient is φ = 727603200.

The previous prime is 2122231997. The next prime is 2122232003. The reversal of 2122232000 is 2322212.

It is an interprime number because it is at equal distance from previous prime (2122231997) and next prime (2122232003).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2122232003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37052 + ... + 74948.

It is an arithmetic number, because the mean of its divisors is an integer number (53631084).

Almost surely, 2^2122232000 is an apocalyptic number.

2122232000 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 2122232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003340704).

2122232000 is an abundant number, since it is smaller than the sum of its proper divisors (3884449408).

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

2122232000 is an equidigital number, since it uses as much as digits as its factorization.

2122232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37931 (or 37911 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2122232000 is about 46067.6893277707. The cubic root of 2122232000 is about 1285.0823325849.

Adding to 2122232000 its reverse (2322212), we get a palindrome (2124554212).

The spelling of 2122232000 in words is "two billion, one hundred twenty-two million, two hundred thirty-two thousand".