13405535242120 has 96 divisors (see below), whose sum is σ = 35397441077400. Its totient is φ = 4555509245952.

The previous prime is 13405535242109. The next prime is 13405535242139. The reversal of 13405535242120 is 2124253550431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8533070584164 + 4872464657956 = 2921142^2 + 2207366^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13405535242120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30042055 + ... + 30485014.

Almost surely, 2^{13405535242120} is an apocalyptic number.

13405535242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405535242120 is an abundant number, since it is smaller than the sum of its proper divisors (21991905835280).

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

13405535242120 is a wasteful number, since it uses less digits than its factorization.

13405535242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60527207 (or 60527196 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 13405535242120 its reverse (2124253550431), we get a palindrome (15529788792551).

The spelling of 13405535242120 in words is "thirteen trillion, four hundred five billion, five hundred thirty-five million, two hundred forty-two thousand, one hundred twenty".