12038688 has 36 divisors (see below), whose sum is σ = 34235838. Its totient is φ = 4012800.

The previous prime is 12038687. The next prime is 12038693. The reversal of 12038688 is 88683021.

It can be written as a sum of positive squares in only one way, i.e., 12027024 + 11664 = 3468^2 + 108^2 .

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

It is a super-2 number, since 2×12038688² = 289860017522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12038687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20613 + ... + 21188.

Almost surely, 2^12038688 is an apocalyptic number.

12038688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12038688 is an abundant number, since it is smaller than the sum of its proper divisors (22197150).

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

12038688 is a wasteful number, since it uses less digits than its factorization.

12038688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41817 (or 41806 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12038688 is about 3469.6812533718. The cubic root of 12038688 is about 229.1886218231.

The spelling of 12038688 in words is "twelve million, thirty-eight thousand, six hundred eighty-eight".