2121991208352 has 768 divisors, whose sum is σ = 7019115264000. Its totient is φ = 619735007232.

The previous prime is 2121991208317. The next prime is 2121991208387. The reversal of 2121991208352 is 2538021991212.

2121991208352 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 9 + 91 + 208 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (2121991208317) and next prime (2121991208387).

It is a junction number, because it is equal to n+sod(n) for n = 2121991208298 and 2121991208307.

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 127 ways as a sum of consecutive naturals, for example, 5345065818 + ... + 5345066214.

It is an arithmetic number, because the mean of its divisors is an integer number (9139473000).

Almost surely, 2^{2121991208352} 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 2121991208352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509557632000).

2121991208352 is an abundant number, since it is smaller than the sum of its proper divisors (4897124055648).

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

2121991208352 is a wasteful number, since it uses less digits than its factorization.

2121991208352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 2121991208352 in words is "two trillion, one hundred twenty-one billion, nine hundred ninety-one million, two hundred eight thousand, three hundred fifty-two".