512120533120 has 256 divisors, whose sum is σ = 1434002169600. Its totient is φ = 171228266496.

The previous prime is 512120533081. The next prime is 512120533123. The reversal of 512120533120 is 21335021215.

It is a super-2 number, since 2×512120533120² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (512120533123) 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 31 ways as a sum of consecutive naturals, for example, 148138432 + ... + 148141888.

It is an arithmetic number, because the mean of its divisors is an integer number (5601570975).

Almost surely, 2^512120533120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512120533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717001084800).

512120533120 is an abundant number, since it is smaller than the sum of its proper divisors (921881636480).

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

512120533120 is a wasteful number, since it uses less digits than its factorization.

512120533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 512120533120 its reverse (21335021215), we get a palindrome (533455554335).

The spelling of 512120533120 in words is "five hundred twelve billion, one hundred twenty million, five hundred thirty-three thousand, one hundred twenty".