12408120342 has 48 divisors (see below), whose sum is σ = 27320267520. Its totient is φ = 4069120176.

The previous prime is 12408120337. The next prime is 12408120353. The reversal of 12408120342 is 24302180421.

12408120342 is a `hidden beast` number, since 1 + 240 + 81 + 2 + 0 + 342 = 666.

It is a super-3 number, since 3×12408120342³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005703 + ... + 1017965.

It is an arithmetic number, because the mean of its divisors is an integer number (569172240).

Almost surely, 2^12408120342 is an apocalyptic number.

12408120342 is an abundant number, since it is smaller than the sum of its proper divisors (14912147178).

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

12408120342 is a wasteful number, since it uses less digits than its factorization.

12408120342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13177 (or 13174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12408120342 in words is "twelve billion, four hundred eight million, one hundred twenty thousand, three hundred forty-two".