2012324000 has 192 divisors, whose sum is σ = 5304997152. Its totient is φ = 747520000.

The previous prime is 2012323997. The next prime is 2012324003. The reversal of 2012324000 is 4232102.

It is an interprime number because it is at equal distance from previous prime (2012323997) and next prime (2012324003).

It can be written as a sum of positive squares in 16 ways, for example, as 468462736 + 1543861264 = 21644^2 + 39292^2 .

It is not an unprimeable number, because it can be changed into a prime (2012324003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6867854 + ... + 6868146.

Almost surely, 2^2012324000 is an apocalyptic number.

2012324000 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 2012324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652498576).

2012324000 is an abundant number, since it is smaller than the sum of its proper divisors (3292673152).

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

2012324000 is a wasteful number, since it uses less digits than its factorization.

2012324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

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

The square root of 2012324000 is about 44858.9344501182. The cubic root of 2012324000 is about 1262.5036303526.

Adding to 2012324000 its reverse (4232102), we get a palindrome (2016556102).

The spelling of 2012324000 in words is "two billion, twelve million, three hundred twenty-four thousand".