1003004012 has 72 divisors (see below), whose sum is σ = 1947985200. Its totient is φ = 450131968.

The previous prime is 1003003999. The next prime is 1003004059. The reversal of 1003004012 is 2104003001.

1003004012 = T₄₇₀₃ + T₄₇₀₄ + ... + T₄₇₉₁.

It is a happy number.

It is a super-2 number, since 2×1003004012² = 2012034096176192288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003003984 and 1003004002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11269664 + ... + 11269752.

It is an arithmetic number, because the mean of its divisors is an integer number (27055350).

Almost surely, 2^1003004012 is an apocalyptic number.

It is an amenable number.

1003004012 is a deficient number, since it is larger than the sum of its proper divisors (944981188).

1003004012 is a wasteful number, since it uses less digits than its factorization.

1003004012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1003004012 is about 31670.2385845134. The cubic root of 1003004012 is about 1001.0003363269. Note that the first 3 decimals are identical.

Adding to 1003004012 its reverse (2104003001), we get a palindrome (3107007013).

It can be divided in two parts, 100300 and 4012, that multiplied together give a square (402403600 = 20060²).

The spelling of 1003004012 in words is "one billion, three million, four thousand, twelve".