320203221112320 has 320 divisors, whose sum is σ = 1259876522741760. Its totient is φ = 67559360790528.

The previous prime is 320203221112283. The next prime is 320203221112393. The reversal of 320203221112320 is 23211122302023.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228384240 + ... + 229781999.

It is an arithmetic number, because the mean of its divisors is an integer number (3937114133568).

Almost surely, 2^{320203221112320} is an apocalyptic number.

320203221112320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320203221112320 is an abundant number, since it is smaller than the sum of its proper divisors (939673301629440).

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

320203221112320 is a wasteful number, since it uses less digits than its factorization.

320203221112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458166285 (or 458166269 counting only the distinct ones).

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

Adding to 320203221112320 its reverse (23211122302023), we get a palindrome (343414343414343).

The spelling of 320203221112320 in words is "three hundred twenty trillion, two hundred three billion, two hundred twenty-one million, one hundred twelve thousand, three hundred twenty".