320310312000 has 448 divisors, whose sum is σ = 1210982982144. Its totient is φ = 73079193600.

The previous prime is 320310311963. The next prime is 320310312011. The reversal of 320310312000 is 213013023.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113062584 + ... + 113065416.

Almost surely, 2^320310312000 is an apocalyptic number.

320310312000 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 320310312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605491491072).

320310312000 is an abundant number, since it is smaller than the sum of its proper divisors (890672670144).

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

320310312000 is a wasteful number, since it uses less digits than its factorization.

320310312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 320310312000 its reverse (213013023), we get a palindrome (320523325023).

The spelling of 320310312000 in words is "three hundred twenty billion, three hundred ten million, three hundred twelve thousand".