12144426240 has 72 divisors (see below), whose sum is σ = 38786273568. Its totient is φ = 3238512640.

The previous prime is 12144426227. The next prime is 12144426299. The reversal of 12144426240 is 4262444121.

12144426240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12144426198 and 12144426207.

It is a congruent number.

It is an unprimeable number.

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, 1577466 + ... + 1585145.

It is an arithmetic number, because the mean of its divisors is an integer number (538698244).

Almost surely, 2^12144426240 is an apocalyptic number.

12144426240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144426240 is an abundant number, since it is smaller than the sum of its proper divisors (26641847328).

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

12144426240 is an equidigital number, since it uses as much as digits as its factorization.

12144426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162635 (or 3162621 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 12144426240 in words is "twelve billion, one hundred forty-four million, four hundred twenty-six thousand, two hundred forty".