12132426240 has 640 divisors, whose sum is σ = 47835152640. Its totient is φ = 2926264320.

The previous prime is 12132426217. The next prime is 12132426247. The reversal of 12132426240 is 4262423121.

12132426240 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 4 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12132426247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 61585822 + ... + 61586018.

It is an arithmetic number, because the mean of its divisors is an integer number (74742426).

Almost surely, 2^12132426240 is an apocalyptic number.

12132426240 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 12132426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23917576320).

12132426240 is an abundant number, since it is smaller than the sum of its proper divisors (35702726400).

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

12132426240 is an frugal number, since it uses more digits than its factorization.

12132426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12132426240 its reverse (4262423121), we get a palindrome (16394849361).

The spelling of 12132426240 in words is "twelve billion, one hundred thirty-two million, four hundred twenty-six thousand, two hundred forty".