320312223000 has 768 divisors, whose sum is σ = 1359187015680. Its totient is φ = 66096000000.

The previous prime is 320312222977. The next prime is 320312223017. The reversal of 320312223000 is 322213023.

It is a happy number.

320312223000 is a `hidden beast` number, since 32 + 0 + 312 + 22 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104641470 + ... + 104644530.

It is an arithmetic number, because the mean of its divisors is an integer number (1769774760).

Almost surely, 2^320312223000 is an apocalyptic number.

320312223000 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 320312223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679593507840).

320312223000 is an abundant number, since it is smaller than the sum of its proper divisors (1038874792680).

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

320312223000 is a wasteful number, since it uses less digits than its factorization.

320312223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320312223000 its reverse (322213023), we get a palindrome (320634436023).

The spelling of 320312223000 in words is "three hundred twenty billion, three hundred twelve million, two hundred twenty-three thousand".