312044240000 has 160 divisors (see below), whose sum is σ = 779820877440. Its totient is φ = 124334720000.

The previous prime is 312044239999. The next prime is 312044240009. The reversal of 312044240000 is 42440213.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312044240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21032585 + ... + 21047415.

It is an arithmetic number, because the mean of its divisors is an integer number (4873880484).

Almost surely, 2^312044240000 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 312044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389910438720).

312044240000 is an abundant number, since it is smaller than the sum of its proper divisors (467776637440).

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

312044240000 is an equidigital number, since it uses as much as digits as its factorization.

312044240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128 (or 15101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 312044240000 its reverse (42440213), we get a palindrome (312086680213).

The spelling of 312044240000 in words is "three hundred twelve billion, forty-four million, two hundred forty thousand".