130212331200 has 504 divisors, whose sum is σ = 531324291680. Its totient is φ = 29627596800.

The previous prime is 130212331129. The next prime is 130212331201. The reversal of 130212331200 is 2133212031.

130212331200 is a `hidden beast` number, since 1 + 302 + 12 + 331 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (130212331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23080380 + ... + 23086020.

Almost surely, 2^130212331200 is an apocalyptic number.

130212331200 is a gapful number since it is divisible by the number (10) 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 130212331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265662145840).

130212331200 is an abundant number, since it is smaller than the sum of its proper divisors (401111960480).

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

130212331200 is a wasteful number, since it uses less digits than its factorization.

130212331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130212331200 its reverse (2133212031), we get a palindrome (132345543231).

The spelling of 130212331200 in words is "one hundred thirty billion, two hundred twelve million, three hundred thirty-one thousand, two hundred".