12142305106344 has 48 divisors (see below), whose sum is σ = 37583325330720. Its totient is φ = 3469230030240.

The previous prime is 12142305106339. The next prime is 12142305106361. The reversal of 12142305106344 is 44360150324121.

12142305106344 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 3 + 0 + 5 + 10 + 634 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12142305106299 and 12142305106308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12045937102 + ... + 12045938109.

It is an arithmetic number, because the mean of its divisors is an integer number (782985944390).

Almost surely, 2^{12142305106344} is an apocalyptic number.

12142305106344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12142305106344 is an abundant number, since it is smaller than the sum of its proper divisors (25441020224376).

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

12142305106344 is a wasteful number, since it uses less digits than its factorization.

12142305106344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24091875230 (or 24091875223 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12142305106344 in words is "twelve trillion, one hundred forty-two billion, three hundred five million, one hundred six thousand, three hundred forty-four".