4312313200000 has 384 divisors, whose sum is σ = 11782923344640. Its totient is φ = 1562096640000.

The previous prime is 4312313199979. The next prime is 4312313200033. The reversal of 4312313200000 is 23132134.

4312313200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275592177 + ... + 275607823.

It is an arithmetic number, because the mean of its divisors is an integer number (30684696210).

Almost surely, 2^{4312313200000} is an apocalyptic number.

4312313200000 is a gapful number since it is divisible by the number (40) 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 4312313200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891461672320).

4312313200000 is an abundant number, since it is smaller than the sum of its proper divisors (7470610144640).

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

4312313200000 is an equidigital number, since it uses as much as digits as its factorization.

4312313200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15752 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 4312313200000 its reverse (23132134), we get a palindrome (4312336332134).

The spelling of 4312313200000 in words is "four trillion, three hundred twelve billion, three hundred thirteen million, two hundred thousand".