1032012144 has 80 divisors (see below), whose sum is σ = 2982324000. Its totient is φ = 341673984.

The previous prime is 1032012133. The next prime is 1032012181. The reversal of 1032012144 is 4412102301.

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 15 ways as a sum of consecutive naturals, for example, 56352 + ... + 72384.

It is an arithmetic number, because the mean of its divisors is an integer number (37279050).

Almost surely, 2^1032012144 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 1032012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491162000).

1032012144 is an abundant number, since it is smaller than the sum of its proper divisors (1950311856).

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

1032012144 is a wasteful number, since it uses less digits than its factorization.

1032012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16199 (or 16187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1032012144 is about 32124.9458209660. The cubic root of 1032012144 is about 1010.5588333081.

Adding to 1032012144 its reverse (4412102301), we get a palindrome (5444114445).

The spelling of 1032012144 in words is "one billion, thirty-two million, twelve thousand, one hundred forty-four".