9835123210000 has 225 divisors, whose sum is σ = 26182502916339. Its totient is φ = 3575154000000.

The previous prime is 9835123209997. The next prime is 9835123210043. The reversal of 9835123210000 is 123215389.

The square root of 9835123210000 is 3136100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 771073659664 + 9064049550336 = 878108^2 + 3010656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3449708575 + ... + 3449711425.

Almost surely, 2^{9835123210000} is an apocalyptic number.

9835123210000 is the 3136100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9835123210000

9835123210000 is an abundant number, since it is smaller than the sum of its proper divisors (16347379706339).

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

9835123210000 is an frugal number, since it uses more digits than its factorization.

9835123210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 9835123210000 its reverse (123215389), we get a palindrome (9835246425389).

The spelling of 9835123210000 in words is "nine trillion, eight hundred thirty-five billion, one hundred twenty-three million, two hundred ten thousand".