1012512384 has 384 divisors, whose sum is σ = 3438424080. Its totient is φ = 283115520.

The previous prime is 1012512377. The next prime is 1012512433. The reversal of 1012512384 is 4832152101.

It can be written as a sum of positive squares in 8 ways, for example, as 176145984 + 836366400 = 13272^2 + 28920^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10438224 + ... + 10438320.

Almost surely, 2^1012512384 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 1012512384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719212040).

1012512384 is an abundant number, since it is smaller than the sum of its proper divisors (2425911696).

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

1012512384 is a wasteful number, since it uses less digits than its factorization.

1012512384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1012512384 is about 31819.9997485858. Note that the first 3 decimals coincide. The cubic root of 1012512384 is about 1004.1535190610.

Adding to 1012512384 its reverse (4832152101), we get a palindrome (5844664485).

The spelling of 1012512384 in words is "one billion, twelve million, five hundred twelve thousand, three hundred eighty-four".