120540312045 has 48 divisors (see below), whose sum is σ = 212125036032. Its totient is φ = 63307728000.

The previous prime is 120540312019. The next prime is 120540312073. The reversal of 120540312045 is 540213045021.

120540312045 is a `hidden beast` number, since 1 + 205 + 403 + 12 + 0 + 45 = 666.

It is not a de Polignac number, because 120540312045 - 2¹¹ = 120540309997 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14175295 + ... + 14183795.

It is an arithmetic number, because the mean of its divisors is an integer number (4419271584).

Almost surely, 2^120540312045 is an apocalyptic number.

120540312045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120540312045 is a deficient number, since it is larger than the sum of its proper divisors (91584723987).

120540312045 is a wasteful number, since it uses less digits than its factorization.

120540312045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13282 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 120540312045 its reverse (540213045021), we get a palindrome (660753357066).

The spelling of 120540312045 in words is "one hundred twenty billion, five hundred forty million, three hundred twelve thousand, forty-five".