312048000000 has 924 divisors, whose sum is σ = 1234900911816. Its totient is φ = 75264000000.

The previous prime is 312047999983. The next prime is 312048000007. The reversal of 312048000000 is 840213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312048000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1583999902 + ... + 1584000098.

Almost surely, 2^312048000000 is an apocalyptic number.

312048000000 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 312048000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617450455908).

312048000000 is an abundant number, since it is smaller than the sum of its proper divisors (922852911816).

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

312048000000 is an equidigital number, since it uses as much as digits as its factorization.

312048000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312048000000 its reverse (840213), we get a palindrome (312048840213).

The spelling of 312048000000 in words is "three hundred twelve billion, forty-eight million", and thus it is an aban number.