2121329875392 has 336 divisors, whose sum is σ = 7741640437440. Its totient is φ = 540179103744.

The previous prime is 2121329875391. The next prime is 2121329875429. The reversal of 2121329875392 is 2935789231212.

2121329875392 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 29 + 87 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121329875391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822288 + ... + 2217840.

It is an arithmetic number, because the mean of its divisors is an integer number (23040596540).

Almost surely, 2^{2121329875392} 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 2121329875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870820218720).

2121329875392 is an abundant number, since it is smaller than the sum of its proper divisors (5620310562048).

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

2121329875392 is a wasteful number, since it uses less digits than its factorization.

2121329875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395620 (or 1395607 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 2121329875392 in words is "two trillion, one hundred twenty-one billion, three hundred twenty-nine million, eight hundred seventy-five thousand, three hundred ninety-two".