2121124432 has 160 divisors (see below), whose sum is σ = 5099673600. Its totient is φ = 834624000.

The previous prime is 2121124417. The next prime is 2121124441. The reversal of 2121124432 is 2344211212.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15259819 + ... + 15259957.

It is an arithmetic number, because the mean of its divisors is an integer number (31872960).

Almost surely, 2^2121124432 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 2121124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549836800).

2121124432 is an abundant number, since it is smaller than the sum of its proper divisors (2978549168).

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

2121124432 is a wasteful number, since it uses less digits than its factorization.

2121124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 2121124432 is about 46055.6666654604. Note that the first 5 decimals coincide. The cubic root of 2121124432 is about 1284.8587372154.

Adding to 2121124432 its reverse (2344211212), we get a palindrome (4465335644).

The spelling of 2121124432 in words is "two billion, one hundred twenty-one million, one hundred twenty-four thousand, four hundred thirty-two".