120301552305 has 72 divisors (see below), whose sum is σ = 229928962536. Its totient is φ = 58143191040.

The previous prime is 120301552297. The next prime is 120301552321. The reversal of 120301552305 is 503255103021.

It is a happy number.

120301552305 is a `hidden beast` number, since 1 + 2 + 0 + 301 + 5 + 52 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21584311056 + 98717241249 = 146916^2 + 314193^2 .

It is not a de Polignac number, because 120301552305 - 2³ = 120301552297 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1691217 + ... + 1760913.

It is an arithmetic number, because the mean of its divisors is an integer number (3193457813).

Almost surely, 2^120301552305 is an apocalyptic number.

120301552305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120301552305 is a deficient number, since it is larger than the sum of its proper divisors (109627410231).

120301552305 is a wasteful number, since it uses less digits than its factorization.

120301552305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70047 (or 70033 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 120301552305 its reverse (503255103021), we get a palindrome (623556655326).

It can be divided in two parts, 1203015 and 52305, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 120301552305 in words is "one hundred twenty billion, three hundred one million, five hundred fifty-two thousand, three hundred five".