2121133312 has 72 divisors (see below), whose sum is σ = 4473907200. Its totient is φ = 1002043392.

The previous prime is 2121133291. The next prime is 2121133321. The reversal of 2121133312 is 2133311212.

It is a self number, because there is not a number n which added to its sum of digits gives 2121133312.

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 7 ways as a sum of consecutive naturals, for example, 345889 + ... + 351967.

It is an arithmetic number, because the mean of its divisors is an integer number (62137600).

Almost surely, 2^2121133312 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 2121133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236953600).

2121133312 is an abundant number, since it is smaller than the sum of its proper divisors (2352773888).

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

2121133312 is an equidigital number, since it uses as much as digits as its factorization.

2121133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6157 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 2121133312 is about 46055.7630704345. The cubic root of 2121133312 is about 1284.8605302156.

Adding to 2121133312 its reverse (2133311212), we get a palindrome (4254444524).

The spelling of 2121133312 in words is "two billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred twelve".