312457200000 has 384 divisors, whose sum is σ = 1131745063680. Its totient is φ = 75744000000.

The previous prime is 312457199941. The next prime is 312457200007. The reversal of 312457200000 is 2754213.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312457200007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13188165 + ... + 13211835.

It is an arithmetic number, because the mean of its divisors is an integer number (2947252770).

Almost surely, 2^312457200000 is an apocalyptic number.

312457200000 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 312457200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565872531840).

312457200000 is an abundant number, since it is smaller than the sum of its proper divisors (819287863680).

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

312457200000 is an equidigital number, since it uses as much as digits as its factorization.

312457200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23724 (or 23692 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 312457200000 its reverse (2754213), we get a palindrome (312459954213).

The spelling of 312457200000 in words is "three hundred twelve billion, four hundred fifty-seven million, two hundred thousand".