120145533242304 has 112 divisors (see below), whose sum is σ = 338647366270080. Its totient is φ = 37483577809920.

The previous prime is 120145533242299. The next prime is 120145533242311. The reversal of 120145533242304 is 403242335541021.

It is a happy number.

120145533242304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198098607 + ... + 198704174.

It is an arithmetic number, because the mean of its divisors is an integer number (3023637198840).

Almost surely, 2^{120145533242304} is an apocalyptic number.

It is an amenable number.

120145533242304 is an abundant number, since it is smaller than the sum of its proper divisors (218501833027776).

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

120145533242304 is a wasteful number, since it uses less digits than its factorization.

120145533242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396802898 (or 396802888 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 120145533242304 its reverse (403242335541021), we get a palindrome (523387868783325).

The spelling of 120145533242304 in words is "one hundred twenty trillion, one hundred forty-five billion, five hundred thirty-three million, two hundred forty-two thousand, three hundred four".