1003002112 has 72 divisors (see below), whose sum is σ = 2296115136. Its totient is φ = 428353536.

The previous prime is 1003002079. The next prime is 1003002113. The reversal of 1003002112 is 2112003001.

It is not an unprimeable number, because it can be changed into a prime (1003002113) 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, 621018 + ... + 622630.

It is an arithmetic number, because the mean of its divisors is an integer number (31890488).

Almost surely, 2^1003002112 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 1003002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148057568).

1003002112 is an abundant number, since it is smaller than the sum of its proper divisors (1293113024).

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

1003002112 is an equidigital number, since it uses as much as digits as its factorization.

1003002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1003002112 is about 31670.2085878827. The cubic root of 1003002112 is about 1000.9997042584. Note that the first 3 decimals are identical.

Adding to 1003002112 its reverse (2112003001), we get a palindrome (3115005113).

The spelling of 1003002112 in words is "one billion, three million, two thousand, one hundred twelve".