2121210133312 has 112 divisors (see below), whose sum is σ = 4445340238080. Its totient is φ = 1003247511552.

The previous prime is 2121210133297. The next prime is 2121210133349. The reversal of 2121210133312 is 2133310121212.

It is a super-3 number, since 3×2121210133312³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10582114 + ... + 10780702.

It is an arithmetic number, because the mean of its divisors is an integer number (39690537840).

Almost surely, 2^{2121210133312} 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 2121210133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222670119040).

2121210133312 is an abundant number, since it is smaller than the sum of its proper divisors (2324130104768).

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

2121210133312 is a wasteful number, since it uses less digits than its factorization.

2121210133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198768 (or 198758 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2121210133312 its reverse (2133310121212), we get a palindrome (4254520254524).

It can be divided in two parts, 2121210 and 133312, that added together give a palindrome (2254522).

The spelling of 2121210133312 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, one hundred thirty-three thousand, three hundred twelve".