120414335431434 has 96 divisors (see below), whose sum is σ = 274667440492032. Its totient is φ = 35129156198400.

The previous prime is 120414335431427. The next prime is 120414335431441. The reversal of 120414335431434 is 434134533414021.

120414335431434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120414335431427) and next prime (120414335431441).

It is a super-2 number, since 2×120414335431434² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9517279 + ... + 18204594.

It is an arithmetic number, because the mean of its divisors is an integer number (2861119171792).

Almost surely, 2^{120414335431434} is an apocalyptic number.

120414335431434 is an abundant number, since it is smaller than the sum of its proper divisors (154253105060598).

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

120414335431434 is a wasteful number, since it uses less digits than its factorization.

120414335431434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27722124 (or 27722113 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 120414335431434 its reverse (434134533414021), we get a palindrome (554548868845455).

The spelling of 120414335431434 in words is "one hundred twenty trillion, four hundred fourteen billion, three hundred thirty-five million, four hundred thirty-one thousand, four hundred thirty-four".