512235504102000 has 1920 divisors, whose sum is σ = 2040347983085568. Its totient is φ = 110012297472000.

The previous prime is 512235504101987. The next prime is 512235504102031. The reversal of 512235504102000 is 201405532215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88453719105 + ... + 88453724895.

Almost surely, 2^{512235504102000} is an apocalyptic number.

512235504102000 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 512235504102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020173991542784).

512235504102000 is an abundant number, since it is smaller than the sum of its proper divisors (1528112478983568).

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

512235504102000 is a wasteful number, since it uses less digits than its factorization.

512235504102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 512235504102000 its reverse (201405532215), we get a palindrome (512436909634215).

The spelling of 512235504102000 in words is "five hundred twelve trillion, two hundred thirty-five billion, five hundred four million, one hundred two thousand".