320112001344200 has 96 divisors (see below), whose sum is σ = 801658656681960. Its totient is φ = 118173456230400.

The previous prime is 320112001344101. The next prime is 320112001344217. The reversal of 320112001344200 is 2443100211023.

It can be written as a sum of positive squares in 12 ways, for example, as 46710472264036 + 273401529080164 = 6834506^2 + 16534858^2 .

It is an unprimeable number.

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, 2813780 + ... + 25458620.

Almost surely, 2^{320112001344200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320112001344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400829328340980).

320112001344200 is an abundant number, since it is smaller than the sum of its proper divisors (481546655337760).

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

320112001344200 is a wasteful number, since it uses less digits than its factorization.

320112001344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22650307 (or 22650298 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 320112001344200 its reverse (2443100211023), we get a palindrome (322555101555223).

The spelling of 320112001344200 in words is "three hundred twenty trillion, one hundred twelve billion, one million, three hundred forty-four thousand, two hundred".