1012144 has 30 divisors (see below), whose sum is σ = 2282964. Its totient is φ = 433440.

The previous prime is 1012133. The next prime is 1012147. The reversal of 1012144 is 4412101.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1012147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139 + ... + 1429.

2^1012144 is an apocalyptic number.

1012144 is a gapful number since it is divisible by the number (14) 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 1012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141482).

1012144 is an abundant number, since it is smaller than the sum of its proper divisors (1270820).

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

1012144 is a wasteful number, since it uses less digits than its factorization.

1012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1012144 is about 1006.0536765004. The cubic root of 1012144 is about 100.4031723362.

Adding to 1012144 its reverse (4412101), we get a palindrome (5424245).

It can be divided in two parts, 1012 and 144, that added together give a square (1156 = 34²).

The spelling of 1012144 in words is "one million, twelve thousand, one hundred forty-four".