320121032000 has 448 divisors, whose sum is σ = 996196810752. Its totient is φ = 98991360000.

The previous prime is 320121031987. The next prime is 320121032003. The reversal of 320121032000 is 230121023.

It is a happy number.

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 (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320121032003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80694017 + ... + 80697983.

Almost surely, 2^320121032000 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 320121032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498098405376).

320121032000 is an abundant number, since it is smaller than the sum of its proper divisors (676075778752).

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

320121032000 is a wasteful number, since it uses less digits than its factorization.

320121032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 320121032000 its reverse (230121023), we get a palindrome (320351153023).

It can be divided in two parts, 320 and 121032000, that multiplied together give a square (38730240000 = 196800²).

The spelling of 320121032000 in words is "three hundred twenty billion, one hundred twenty-one million, thirty-two thousand".