11004012 has 36 divisors (see below), whose sum is σ = 28848456. Its totient is φ = 3667680.

The previous prime is 11003957. The next prime is 11004017. The reversal of 11004012 is 21040011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11004012² = 242176560192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11003985 and 11004003.

It is not an unprimeable number, because it can be changed into a prime (11004017) 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 11 ways as a sum of consecutive naturals, for example, 4689 + ... + 6632.

It is an arithmetic number, because the mean of its divisors is an integer number (801346).

Almost surely, 2^11004012 is an apocalyptic number.

11004012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11004012 is an abundant number, since it is smaller than the sum of its proper divisors (17844444).

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

11004012 is a wasteful number, since it uses less digits than its factorization.

11004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11340 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11004012 is about 3317.2295669730. The cubic root of 11004012 is about 222.4250439768.

Adding to 11004012 its reverse (21040011), we get a palindrome (32044023).

The spelling of 11004012 in words is "eleven million, four thousand, twelve".