2124141312 has 144 divisors (see below), whose sum is σ = 5851399680. Its totient is φ = 683667456.

The previous prime is 2124141259. The next prime is 2124141319. The reversal of 2124141312 is 2131414212.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2124141319) 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, 2995614 + ... + 2996322.

It is an arithmetic number, because the mean of its divisors is an integer number (40634720).

Almost surely, 2^2124141312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925699840).

2124141312 is an abundant number, since it is smaller than the sum of its proper divisors (3727258368).

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

2124141312 is an equidigital number, since it uses as much as digits as its factorization.

2124141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2124141312 is about 46088.4075663284. The cubic root of 2124141312 is about 1285.4676011242.

Adding to 2124141312 its reverse (2131414212), we get a palindrome (4255555524).

The spelling of 2124141312 in words is "two billion, one hundred twenty-four million, one hundred forty-one thousand, three hundred twelve".