12142646875884 has 288 divisors, whose sum is σ = 34504637271552. Its totient is φ = 3310699392000.

The previous prime is 12142646875871. The next prime is 12142646875927. The reversal of 12142646875884 is 48857864624121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422912289 + ... + 422940999.

It is an arithmetic number, because the mean of its divisors is an integer number (119807768304).

Almost surely, 2^{12142646875884} is an apocalyptic number.

12142646875884 is a gapful number since it is divisible by the number (14) 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 12142646875884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252318635776).

12142646875884 is an abundant number, since it is smaller than the sum of its proper divisors (22361990395668).

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

12142646875884 is a wasteful number, since it uses less digits than its factorization.

12142646875884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29157 (or 29148 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 66.

The spelling of 12142646875884 in words is "twelve trillion, one hundred forty-two billion, six hundred forty-six million, eight hundred seventy-five thousand, eight hundred eighty-four".