12007688 has 64 divisors (see below), whose sum is σ = 28494720. Its totient is φ = 4608000.

The previous prime is 12007669. The next prime is 12007747. The reversal of 12007688 is 88670021.

It is a super-2 number, since 2×12007688² = 288369142210688, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62120 + ... + 62312.

It is an arithmetic number, because the mean of its divisors is an integer number (445230).

Almost surely, 2^12007688 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 12007688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247360).

12007688 is an abundant number, since it is smaller than the sum of its proper divisors (16487032).

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

12007688 is a wasteful number, since it uses less digits than its factorization.

12007688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 12007688 is about 3465.2111046803. The cubic root of 12007688 is about 228.9917300904.

It can be divided in two parts, 1200 and 7688, that added together give a palindrome (8888).

The spelling of 12007688 in words is "twelve million, seven thousand, six hundred eighty-eight".