12380288 has 24 divisors (see below), whose sum is σ = 24743415. Its totient is φ = 6170240.

The previous prime is 12380281. The next prime is 12380293. The reversal of 12380288 is 88208321.

12380288 = T₁₁₂ + T₁₁₃ + ... + T₄₂₂.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6190144 + 6190144 = 2488^2 + 2488^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2488.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12380281) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 39653 + ... + 39963.

Almost surely, 2^12380288 is an apocalyptic number.

It is an amenable number.

12380288 is a deficient number, since it is larger than the sum of its proper divisors (12363127).

12380288 is an frugal number, since it uses more digits than its factorization.

12380288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 12380288 is about 3518.5633431843. The cubic root of 12380288 is about 231.3361920729.

Multiplying 12380288 by its sum of digits (32), we get a square (396169216 = 19904²).

12380288 divided by its sum of digits (32) gives a square (386884 = 622²).

The spelling of 12380288 in words is "twelve million, three hundred eighty thousand, two hundred eighty-eight".