312040004240000 has 80 divisors (see below), whose sum is σ = 776804088254370. Its totient is φ = 124816001664000.

The previous prime is 312040004239991. The next prime is 312040004240009. The reversal of 312040004240000 is 42400040213.

It is an interprime number because it is at equal distance from previous prime (312040004239991) and next prime (312040004240009).

It can be written as a sum of positive squares in 5 ways, for example, as 5035500096064 + 307004504143936 = 2243992^2 + 17521544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (312040004240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1950170027 + ... + 1950330026.

Almost surely, 2^{312040004240000} is an apocalyptic number.

It is an amenable number.

312040004240000 is an abundant number, since it is smaller than the sum of its proper divisors (464764084014370).

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

312040004240000 is an frugal number, since it uses more digits than its factorization.

312040004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900500087 (or 3900500060 counting only the distinct ones).

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

Adding to 312040004240000 its reverse (42400040213), we get a palindrome (312082404280213).

The spelling of 312040004240000 in words is "three hundred twelve trillion, forty billion, four million, two hundred forty thousand".