320223290112 has 1080 divisors, whose sum is σ = 1136819819520. Its totient is φ = 89322393600.

The previous prime is 320223290099. The next prime is 320223290131. The reversal of 320223290112 is 211092322023.

320223290112 is a `hidden beast` number, since 320 + 2 + 2 + 329 + 0 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1788956839 + ... + 1788957017.

It is an arithmetic number, because the mean of its divisors is an integer number (1052610944).

Almost surely, 2^320223290112 is an apocalyptic number.

320223290112 is a gapful number since it is divisible by the number (32) 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 320223290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568409909760).

320223290112 is an abundant number, since it is smaller than the sum of its proper divisors (816596529408).

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

320223290112 is a wasteful number, since it uses less digits than its factorization.

320223290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 320223290112 in words is "three hundred twenty billion, two hundred twenty-three million, two hundred ninety thousand, one hundred twelve".