512132211200 has 120 divisors (see below), whose sum is σ = 1269256375860. Its totient is φ = 204786892800.

The previous prime is 512132211197. The next prime is 512132211211. The reversal of 512132211200 is 2112231215.

It can be written as a sum of positive squares in 6 ways, for example, as 394203156736 + 117929054464 = 627856^2 + 343408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66671360 + ... + 66679040.

Almost surely, 2^512132211200 is an apocalyptic number.

512132211200 is a gapful number since it is divisible by the number (50) 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 512132211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634628187930).

512132211200 is an abundant number, since it is smaller than the sum of its proper divisors (757124164660).

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

512132211200 is an equidigital number, since it uses as much as digits as its factorization.

512132211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12918 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 512132211200 its reverse (2112231215), we get a palindrome (514244442415).

The spelling of 512132211200 in words is "five hundred twelve billion, one hundred thirty-two million, two hundred eleven thousand, two hundred".