320120130220200 has 288 divisors, whose sum is σ = 1085979412791000. Its totient is φ = 84503031367680.

The previous prime is 320120130220193. The next prime is 320120130220207. The reversal of 320120130220200 is 2022031021023.

320120130220200 is a `hidden beast` number, since 3 + 20 + 120 + 1 + 302 + 20 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (320120130220193) and next prime (320120130220207).

It can be written as a sum of positive squares in 12 ways, for example, as 28147247938404 + 291972882281796 = 5305398^2 + 17087214^2 .

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

It is not an unprimeable number, because it can be changed into a prime (320120130220207) 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, 76545762 + ... + 80619438.

Almost surely, 2^{320120130220200} is an apocalyptic number.

320120130220200 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 320120130220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542989706395500).

320120130220200 is an abundant number, since it is smaller than the sum of its proper divisors (765859282570800).

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

320120130220200 is a wasteful number, since it uses less digits than its factorization.

320120130220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074141 (or 4074129 counting only the distinct ones).

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

Adding to 320120130220200 its reverse (2022031021023), we get a palindrome (322142161241223).

The spelling of 320120130220200 in words is "three hundred twenty trillion, one hundred twenty billion, one hundred thirty million, two hundred twenty thousand, two hundred".