512012160 has 192 divisors, whose sum is σ = 1929011760. Its totient is φ = 124108800.

The previous prime is 512012113. The next prime is 512012183. The reversal of 512012160 is 61210215.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59320 + ... + 67400.

Almost surely, 2^512012160 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 512012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964505880).

512012160 is an abundant number, since it is smaller than the sum of its proper divisors (1416999600).

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

512012160 is a wasteful number, since it uses less digits than its factorization.

512012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 512012160 is about 22627.6856969510. The cubic root of 512012160 is about 800.0063332832.

Adding to 512012160 its reverse (61210215), we get a palindrome (573222375).

It can be divided in two parts, 51201 and 2160, that added together give a square (53361 = 231²).

The spelling of 512012160 in words is "five hundred twelve million, twelve thousand, one hundred sixty".