12388480 has 64 divisors (see below), whose sum is σ = 31915800. Its totient is φ = 4571136.

The previous prime is 12388471. The next prime is 12388487. The reversal of 12388480 is 8488321.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 6512704 = 2424^2 + 2552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12388487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7576 + ... + 9064.

Almost surely, 2^12388480 is an apocalyptic number.

12388480 is a gapful number since it is divisible by the number (10) 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 12388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957900).

12388480 is an abundant number, since it is smaller than the sum of its proper divisors (19527320).

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

12388480 is a wasteful number, since it uses less digits than its factorization.

12388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 12388480 is about 3519.7272621611. The cubic root of 12388480 is about 231.3872056477.

The spelling of 12388480 in words is "twelve million, three hundred eighty-eight thousand, four hundred eighty".