2112330000 has 400 divisors, whose sum is σ = 7683990336. Its totient is φ = 495360000.

The previous prime is 2112329981. The next prime is 2112330001. The reversal of 2112330000 is 332112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2112330001) 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 79 ways as a sum of consecutive naturals, for example, 12209914 + ... + 12210086.

Almost surely, 2^2112330000 is an apocalyptic number.

2112330000 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 2112330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841995168).

2112330000 is an abundant number, since it is smaller than the sum of its proper divisors (5571660336).

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

2112330000 is a wasteful number, since it uses less digits than its factorization.

2112330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2112330000 is about 45960.0913837212. The cubic root of 2112330000 is about 1283.0805521501.

Adding to 2112330000 its reverse (332112), we get a palindrome (2112662112).

It can be divided in two parts, 2112 and 330000, that multiplied together give a square (696960000 = 26400²).

The spelling of 2112330000 in words is "two billion, one hundred twelve million, three hundred thirty thousand".