320712204120 has 512 divisors, whose sum is σ = 1212448849920. Its totient is φ = 65929144320.

The previous prime is 320712204119. The next prime is 320712204149. The reversal of 320712204120 is 21402217023.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 473725222 + ... + 473725898.

It is an arithmetic number, because the mean of its divisors is an integer number (2368064160).

Almost surely, 2^320712204120 is an apocalyptic number.

320712204120 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 320712204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606224424960).

320712204120 is an abundant number, since it is smaller than the sum of its proper divisors (891736645800).

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

320712204120 is a wasteful number, since it uses less digits than its factorization.

320712204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 320712204120 in words is "three hundred twenty billion, seven hundred twelve million, two hundred four thousand, one hundred twenty".