2121000332112 has 320 divisors, whose sum is σ = 6565385502720. Its totient is φ = 653677516800.

The previous prime is 2121000332111. The next prime is 2121000332141. The reversal of 2121000332112 is 2112330001212.

2121000332112 is a `hidden beast` number, since 212 + 10 + 0 + 0 + 332 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121000332111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297847912 + ... + 297855032.

It is an arithmetic number, because the mean of its divisors is an integer number (20516829696).

Almost surely, 2^{2121000332112} 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 2121000332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282692751360).

2121000332112 is an abundant number, since it is smaller than the sum of its proper divisors (4444385170608).

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

2121000332112 is a wasteful number, since it uses less digits than its factorization.

2121000332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121000332112 its reverse (2112330001212), we get a palindrome (4233330333324).

The spelling of 2121000332112 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-two thousand, one hundred twelve".