34121136205242 has 12 divisors (see below), whose sum is σ = 73929128444730. Its totient is φ = 11373712068408.

The previous prime is 34121136205181. The next prime is 34121136205243. The reversal of 34121136205242 is 24250263112143.

It is a happy number.

34121136205242 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 1 + 1 + 3 + 620 + 5 + 24 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24537647695401 + 9583488509841 = 4953549^2 + 3095721^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34121136205197 and 34121136205206.

It is not an unprimeable number, because it can be changed into a prime (34121136205243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 947809339017 + ... + 947809339052.

Almost surely, 2^{34121136205242} is an apocalyptic number.

34121136205242 is an abundant number, since it is smaller than the sum of its proper divisors (39807992239488).

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

34121136205242 is a wasteful number, since it uses less digits than its factorization.

34121136205242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895618678077 (or 1895618678074 counting only the distinct ones).

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

Adding to 34121136205242 its reverse (24250263112143), we get a palindrome (58371399317385).

The spelling of 34121136205242 in words is "thirty-four trillion, one hundred twenty-one billion, one hundred thirty-six million, two hundred five thousand, two hundred forty-two".