512430125200 has 120 divisors (see below), whose sum is σ = 1410195079040. Its totient is φ = 175289702400.

The previous prime is 512430125173. The next prime is 512430125213. The reversal of 512430125200 is 2521034215.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020760 + ... + 1437640.

Almost surely, 2^512430125200 is an apocalyptic number.

512430125200 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 512430125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705097539520).

512430125200 is an abundant number, since it is smaller than the sum of its proper divisors (897764953840).

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

512430125200 is a wasteful number, since it uses less digits than its factorization.

512430125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417345 (or 417334 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 512430125200 its reverse (2521034215), we get a palindrome (514951159415).

The spelling of 512430125200 in words is "five hundred twelve billion, four hundred thirty million, one hundred twenty-five thousand, two hundred".