3112494835200 has 960 divisors, whose sum is σ = 11223053107200. Its totient is φ = 758049177600.

The previous prime is 3112494835183. The next prime is 3112494835213. The reversal of 3112494835200 is 25384942113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2162956081 + ... + 2162957519.

It is an arithmetic number, because the mean of its divisors is an integer number (11690680320).

Almost surely, 2^{3112494835200} is an apocalyptic number.

3112494835200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112494835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611526553600).

3112494835200 is an abundant number, since it is smaller than the sum of its proper divisors (8110558272000).

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

3112494835200 is a wasteful number, since it uses less digits than its factorization.

3112494835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 3112494835200 in words is "three trillion, one hundred twelve billion, four hundred ninety-four million, eight hundred thirty-five thousand, two hundred".