130212000331200 has 504 divisors, whose sum is σ = 466614965980800. Its totient is φ = 34437802936320.

The previous prime is 130212000331187. The next prime is 130212000331241. The reversal of 130212000331200 is 2133000212031.

130212000331200 is a `hidden beast` number, since 1 + 302 + 12 + 0 + 0 + 0 + 331 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1967539711 + ... + 1967605889.

It is an arithmetic number, because the mean of its divisors is an integer number (925823345200).

Almost surely, 2^{130212000331200} is an apocalyptic number.

130212000331200 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 130212000331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233307482990400).

130212000331200 is an abundant number, since it is smaller than the sum of its proper divisors (336402965649600).

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

130212000331200 is a wasteful number, since it uses less digits than its factorization.

130212000331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67329 (or 67311 counting only the distinct ones).

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

Adding to 130212000331200 its reverse (2133000212031), we get a palindrome (132345000543231).

The spelling of 130212000331200 in words is "one hundred thirty trillion, two hundred twelve billion, three hundred thirty-one thousand, two hundred".