130000322221200 has 180 divisors, whose sum is σ = 451159840376388. Its totient is φ = 34665015091200.

The previous prime is 130000322221153. The next prime is 130000322221219. The reversal of 130000322221200 is 2122223000031.

130000322221200 is a `hidden beast` number, since 1 + 300 + 0 + 0 + 322 + 2 + 21 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 402316192656 + 129598006028544 = 634284^2 + 11384112^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71742340 + ... + 73532060.

Almost surely, 2^{130000322221200} is an apocalyptic number.

130000322221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130000322221200 is an abundant number, since it is smaller than the sum of its proper divisors (321159518155188).

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

130000322221200 is a wasteful number, since it uses less digits than its factorization.

130000322221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809922 (or 1809908 counting only the distinct ones).

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

Adding to 130000322221200 its reverse (2122223000031), we get a palindrome (132122545221231).

The spelling of 130000322221200 in words is "one hundred thirty trillion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred".