320170245120 has 1056 divisors, whose sum is σ = 1307779499520. Its totient is φ = 71606599680.

The previous prime is 320170245103. The next prime is 320170245151. The reversal of 320170245120 is 21542071023.

320170245120 is a `hidden beast` number, since 3 + 20 + 170 + 2 + 451 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338088487 + ... + 338089433.

Almost surely, 2^320170245120 is an apocalyptic number.

320170245120 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 320170245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653889749760).

320170245120 is an abundant number, since it is smaller than the sum of its proper divisors (987609254400).

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

320170245120 is a wasteful number, since it uses less digits than its factorization.

320170245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 320170245120 in words is "three hundred twenty billion, one hundred seventy million, two hundred forty-five thousand, one hundred twenty".