3112641043200 has 3024 divisors, whose sum is σ = 13632518747680. Its totient is φ = 696570347520.

The previous prime is 3112641043157. The next prime is 3112641043223. The reversal of 3112641043200 is 23401462113.

It is a happy number.

3112641043200 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 6 + 410 + 43 + 200 = 666.

3112641043200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 42638918364 + ... + 42638918436.

Almost surely, 2^{3112641043200} is an apocalyptic number.

3112641043200 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 3112641043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816259373840).

3112641043200 is an abundant number, since it is smaller than the sum of its proper divisors (10519877704480).

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

3112641043200 is a wasteful number, since it uses less digits than its factorization.

3112641043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 3112641043200 in words is "three trillion, one hundred twelve billion, six hundred forty-one million, forty-three thousand, two hundred".