12142287432 has 192 divisors, whose sum is σ = 36972936000. Its totient is φ = 3567974400.

The previous prime is 12142287419. The next prime is 12142287481. The reversal of 12142287432 is 23478224121.

12142287432 is a `hidden beast` number, since 1 + 2 + 142 + 2 + 87 + 432 = 666.

12142287432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 5811444 + ... + 5813532.

It is an arithmetic number, because the mean of its divisors is an integer number (192567375).

Almost surely, 2^12142287432 is an apocalyptic number.

12142287432 is a gapful number since it is divisible by the number (12) 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 12142287432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486468000).

12142287432 is an abundant number, since it is smaller than the sum of its proper divisors (24830648568).

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

12142287432 is a wasteful number, since it uses less digits than its factorization.

12142287432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 12142287432 in words is "twelve billion, one hundred forty-two million, two hundred eighty-seven thousand, four hundred thirty-two".