3112043202400 has 648 divisors, whose sum is σ = 8805220789176. Its totient is φ = 1064931840000.

The previous prime is 3112043202371. The next prime is 3112043202407. The reversal of 3112043202400 is 42023402113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112043202407) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 42630728764 + ... + 42630728836.

It is an arithmetic number, because the mean of its divisors is an integer number (13588303687).

Almost surely, 2^{3112043202400} 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 3112043202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402610394588).

3112043202400 is an abundant number, since it is smaller than the sum of its proper divisors (5693177586776).

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

3112043202400 is a wasteful number, since it uses less digits than its factorization.

3112043202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3112043202400 its reverse (42023402113), we get a palindrome (3154066604513).

The spelling of 3112043202400 in words is "three trillion, one hundred twelve billion, forty-three million, two hundred two thousand, four hundred".