320103044131200 has 192 divisors, whose sum is σ = 1150188438496320. Its totient is φ = 77600737945600.

The previous prime is 320103044131153. The next prime is 320103044131201. The reversal of 320103044131200 is 2131440301023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320103044131201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1515533814 + ... + 1515745013.

It is an arithmetic number, because the mean of its divisors is an integer number (5990564783835).

Almost surely, 2^{320103044131200} is an apocalyptic number.

320103044131200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320103044131200 is an abundant number, since it is smaller than the sum of its proper divisors (830085394365120).

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

320103044131200 is a wasteful number, since it uses less digits than its factorization.

320103044131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031278865 (or 3031278848 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 320103044131200 its reverse (2131440301023), we get a palindrome (322234484432223).

The spelling of 320103044131200 in words is "three hundred twenty trillion, one hundred three billion, forty-four million, one hundred thirty-one thousand, two hundred".