320123023033000 has 128 divisors (see below), whose sum is σ = 817255587882240. Its totient is φ = 116398569120000.

The previous prime is 320123023032977. The next prime is 320123023033057. The reversal of 320123023033000 is 330320321023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130043605 + ... + 132482395.

It is an arithmetic number, because the mean of its divisors is an integer number (6384809280330).

Almost surely, 2^{320123023033000} 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 320123023033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408627793941120).

320123023033000 is an abundant number, since it is smaller than the sum of its proper divisors (497132564849240).

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

320123023033000 is a wasteful number, since it uses less digits than its factorization.

320123023033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450756 (or 2450742 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 320123023033000 its reverse (330320321023), we get a palindrome (320453343354023).

The spelling of 320123023033000 in words is "three hundred twenty trillion, one hundred twenty-three billion, twenty-three million, thirty-three thousand".