320134122000 has 480 divisors, whose sum is σ = 1394027990784. Its totient is φ = 66521088000.

The previous prime is 320134121971. The next prime is 320134122001. The reversal of 320134122000 is 221431023.

320134122000 is a `hidden beast` number, since 320 + 1 + 341 + 2 + 2 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (320134122001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1270512 + ... + 1501488.

Almost surely, 2^320134122000 is an apocalyptic number.

320134122000 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 320134122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697013995392).

320134122000 is an abundant number, since it is smaller than the sum of its proper divisors (1073893868784).

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

320134122000 is a wasteful number, since it uses less digits than its factorization.

320134122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231024 (or 231005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320134122000 its reverse (221431023), we get a palindrome (320355553023).

The spelling of 320134122000 in words is "three hundred twenty billion, one hundred thirty-four million, one hundred twenty-two thousand".