320001012000 has 864 divisors, whose sum is σ = 1202261284224. Its totient is φ = 80559360000.

The previous prime is 320001011977. The next prime is 320001012041. The reversal of 320001012000 is 210100023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2119211925 + ... + 2119212075.

It is an arithmetic number, because the mean of its divisors is an integer number (1391506116).

Almost surely, 2^320001012000 is an apocalyptic number.

320001012000 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 320001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601130642112).

320001012000 is an abundant number, since it is smaller than the sum of its proper divisors (882260272224).

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

320001012000 is a wasteful number, since it uses less digits than its factorization.

320001012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 320001012000 its reverse (210100023), we get a palindrome (320211112023).

The spelling of 320001012000 in words is "three hundred twenty billion, one million, twelve thousand".