12045696 has 128 divisors (see below), whose sum is σ = 36556800. Its totient is φ = 3483648.

The previous prime is 12045689. The next prime is 12045697. The reversal of 12045696 is 69654021.

12045696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94785 + ... + 94911.

It is an arithmetic number, because the mean of its divisors is an integer number (285600).

Almost surely, 2^12045696 is an apocalyptic number.

12045696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278400).

12045696 is an abundant number, since it is smaller than the sum of its proper divisors (24511104).

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

12045696 is a wasteful number, since it uses less digits than its factorization.

12045696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 12045696 is about 3470.6909974816. The cubic root of 12045696 is about 229.2330852038.

The spelling of 12045696 in words is "twelve million, forty-five thousand, six hundred ninety-six".