9800035123200 has 1080 divisors, whose sum is σ = 38508122322432. Its totient is φ = 2191715205120.

The previous prime is 9800035123129. The next prime is 9800035123213. The reversal of 9800035123200 is 23215300089.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2829924669 + ... + 2829928131.

Almost surely, 2^{9800035123200} 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 9800035123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254061161216).

9800035123200 is an abundant number, since it is smaller than the sum of its proper divisors (28708087199232).

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

9800035123200 is a wasteful number, since it uses less digits than its factorization.

9800035123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 9800035123200 in words is "nine trillion, eight hundred billion, thirty-five million, one hundred twenty-three thousand, two hundred".