10312424320 has 128 divisors (see below), whose sum is σ = 27046262880. Its totient is φ = 3728793600.

The previous prime is 10312424261. The next prime is 10312424333. The reversal of 10312424320 is 2342421301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10312424291 and 10312424300.

It is a congruent number.

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, 1270194 + ... + 1278286.

Almost surely, 2^10312424320 is an apocalyptic number.

10312424320 is a gapful number since it is divisible by the number (10) 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 10312424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523131440).

10312424320 is an abundant number, since it is smaller than the sum of its proper divisors (16733838560).

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

10312424320 is a wasteful number, since it uses less digits than its factorization.

10312424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10312424320 its reverse (2342421301), we get a palindrome (12654845621).

The spelling of 10312424320 in words is "ten billion, three hundred twelve million, four hundred twenty-four thousand, three hundred twenty".