320130142200 has 288 divisors, whose sum is σ = 1178931396240. Its totient is φ = 77204275200.

The previous prime is 320130142147. The next prime is 320130142201. The reversal of 320130142200 is 2241031023.

320130142200 is a `hidden beast` number, since 320 + 1 + 3 + 0 + 142 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130142201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3779514 + ... + 3863286.

Almost surely, 2^320130142200 is an apocalyptic number.

320130142200 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 320130142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589465698120).

320130142200 is an abundant number, since it is smaller than the sum of its proper divisors (858801254040).

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

320130142200 is a wasteful number, since it uses less digits than its factorization.

320130142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83999 (or 83987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320130142200 its reverse (2241031023), we get a palindrome (322371173223).

The spelling of 320130142200 in words is "three hundred twenty billion, one hundred thirty million, one hundred forty-two thousand, two hundred".