12132400240 has 40 divisors (see below), whose sum is σ = 28264003488. Its totient is φ = 4843296000.

The previous prime is 12132400237. The next prime is 12132400243. The reversal of 12132400240 is 4200423121.

12132400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12132400237) and next prime (12132400243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132400243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110511 + ... + 190990.

Almost surely, 2^12132400240 is an apocalyptic number.

12132400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132400240 is an abundant number, since it is smaller than the sum of its proper divisors (16131603248).

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

12132400240 is a wasteful number, since it uses less digits than its factorization.

12132400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302017 (or 302011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12132400240 its reverse (4200423121), we get a palindrome (16332823361).

The spelling of 12132400240 in words is "twelve billion, one hundred thirty-two million, four hundred thousand, two hundred forty".