1012512 has 48 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 329472.

The previous prime is 1012507. The next prime is 1012513. The reversal of 1012512 is 2152101.

1012512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (1012513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4989 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1012512 is an apocalyptic number.

1012512 is a gapful number since it is divisible by the number (12) 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 1012512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

1012512 is an abundant number, since it is smaller than the sum of its proper divisors (1709088).

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

1012512 is a wasteful number, since it uses less digits than its factorization.

1012512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1012512 is about 1006.2365527052. The cubic root of 1012512 is about 100.4153392118.

Adding to 1012512 its reverse (2152101), we get a palindrome (3164613).

The spelling of 1012512 in words is "one million, twelve thousand, five hundred twelve".