312243033010240 has 112 divisors (see below), whose sum is σ = 746400534577200. Its totient is φ = 124415716884480.

The previous prime is 312243033010213. The next prime is 312243033010343. The reversal of 312243033010240 is 42010330342213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36634160443456 + 275608872566784 = 6052616^2 + 16601472^2 .

It is a super-3 number, since 3×312243033010240³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312243033010199 and 312243033010208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86303260 + ... + 89848420.

Almost surely, 2^{312243033010240} 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 312243033010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373200267288600).

312243033010240 is an abundant number, since it is smaller than the sum of its proper divisors (434157501566960).

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

312243033010240 is a wasteful number, since it uses less digits than its factorization.

312243033010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546240 (or 3546230 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312243033010240 its reverse (42010330342213), we get a palindrome (354253363352453).

The spelling of 312243033010240 in words is "three hundred twelve trillion, two hundred forty-three billion, thirty-three million, ten thousand, two hundred forty".