312712433127240 has 256 divisors, whose sum is σ = 988497464832000. Its totient is φ = 78922314178560.

The previous prime is 312712433127209. The next prime is 312712433127253. The reversal of 312712433127240 is 42721334217213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312712433127192 and 312712433127201.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10334511231 + ... + 10334541489.

It is an arithmetic number, because the mean of its divisors is an integer number (3861318222000).

Almost surely, 2^{312712433127240} is an apocalyptic number.

312712433127240 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 312712433127240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494248732416000).

312712433127240 is an abundant number, since it is smaller than the sum of its proper divisors (675785031704760).

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

312712433127240 is a wasteful number, since it uses less digits than its factorization.

312712433127240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34660 (or 34656 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 312712433127240 in words is "three hundred twelve trillion, seven hundred twelve billion, four hundred thirty-three million, one hundred twenty-seven thousand, two hundred forty".