320012000 has 192 divisors, whose sum is σ = 981227520. Its totient is φ = 99648000.

The previous prime is 320011997. The next prime is 320012009. The reversal of 320012000 is 210023.

320012000 = 398³ + 399³ + ... + 402³.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320012009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307481 + ... + 308519.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2^320012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

320012000 is an abundant number, since it is smaller than the sum of its proper divisors (661215520).

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

320012000 is a wasteful number, since it uses less digits than its factorization.

320012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 320012000 is about 17888.8792270505. The cubic root of 320012000 is about 683.9989284435.

Adding to 320012000 its reverse (210023), we get a palindrome (320222023).

The spelling of 320012000 in words is "three hundred twenty million, twelve thousand".