120385252845 has 144 divisors (see below), whose sum is σ = 251673654960. Its totient is φ = 52860487680.

The previous prime is 120385252831. The next prime is 120385252853. The reversal of 120385252845 is 548252583021.

120385252845 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 85 + 2 + 528 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26985947076 + 93399305769 = 164274^2 + 305613^2 .

It is not a de Polignac number, because 120385252845 - 2⁴ = 120385252829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 120385252845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3735561 + ... + 3767649.

It is an arithmetic number, because the mean of its divisors is an integer number (1747733715).

Almost surely, 2^120385252845 is an apocalyptic number.

120385252845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120385252845 is an abundant number, since it is smaller than the sum of its proper divisors (131288402115).

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

120385252845 is a wasteful number, since it uses less digits than its factorization.

120385252845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32188 (or 32174 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 120385252845 in words is "one hundred twenty billion, three hundred eighty-five million, two hundred fifty-two thousand, eight hundred forty-five".