312320241024 has 64 divisors (see below), whose sum is σ = 905018892480. Its totient is φ = 94642496000.

The previous prime is 312320241019. The next prime is 312320241031. The reversal of 312320241024 is 420142023213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 312320240985 and 312320241003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36965502 + ... + 36973949.

It is an arithmetic number, because the mean of its divisors is an integer number (14140920195).

Almost surely, 2^312320241024 is an apocalyptic number.

It is an amenable number.

312320241024 is an abundant number, since it is smaller than the sum of its proper divisors (592698651456).

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

312320241024 is a wasteful number, since it uses less digits than its factorization.

312320241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73939479 (or 73939467 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312320241024 its reverse (420142023213), we get a palindrome (732462264237).

The spelling of 312320241024 in words is "three hundred twelve billion, three hundred twenty million, two hundred forty-one thousand, twenty-four".