1003004112 has 80 divisors (see below), whose sum is σ = 2854245888. Its totient is φ = 300973440.

The previous prime is 1003004099. The next prime is 1003004113. The reversal of 1003004112 is 2114003001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003004113) by changing a digit.

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, 45163 + ... + 63605.

Almost surely, 2^1003004112 is an apocalyptic number.

1003004112 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 1003004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427122944).

1003004112 is an abundant number, since it is smaller than the sum of its proper divisors (1851241776).

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

1003004112 is a wasteful number, since it uses less digits than its factorization.

1003004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568 (or 18562 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1003004112 is about 31670.2401632826. The cubic root of 1003004112 is about 1001.0003695936. Note that the first 3 decimals are identical.

Adding to 1003004112 its reverse (2114003001), we get a palindrome (3117007113).

The spelling of 1003004112 in words is "one billion, three million, four thousand, one hundred twelve".