12000415205142 has 72 divisors (see below), whose sum is σ = 32572555587936. Its totient is φ = 3164944666464.

The previous prime is 12000415205069. The next prime is 12000415205203. The reversal of 12000415205142 is 24150251400021.

It is a happy number.

12000415205142 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 415 + 205 + 1 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523292878 + ... + 523315809.

It is an arithmetic number, because the mean of its divisors is an integer number (452396605388).

Almost surely, 2^{12000415205142} is an apocalyptic number.

12000415205142 is an abundant number, since it is smaller than the sum of its proper divisors (20572140382794).

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

12000415205142 is a wasteful number, since it uses less digits than its factorization.

12000415205142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046608722 (or 1046608712 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 12000415205142 its reverse (24150251400021), we get a palindrome (36150666605163).

The spelling of 12000415205142 in words is "twelve trillion, four hundred fifteen million, two hundred five thousand, one hundred forty-two".