120185505 has 32 divisors (see below), whose sum is σ = 233089920. Its totient is φ = 58271040.

The previous prime is 120185501. The next prime is 120185531. The reversal of 120185505 is 505581021.

It is not a de Polignac number, because 120185505 - 2² = 120185501 is a prime.

It is a super-2 number, since 2×120185505² = 28889111224210050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120185501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38982 + ... + 41951.

It is an arithmetic number, because the mean of its divisors is an integer number (7284060).

Almost surely, 2^120185505 is an apocalyptic number.

120185505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120185505 is a deficient number, since it is larger than the sum of its proper divisors (112904415).

120185505 is a wasteful number, since it uses less digits than its factorization.

120185505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80958 (or 80952 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 120185505 is about 10962.9149864441. The cubic root of 120185505 is about 493.4964477160.

The spelling of 120185505 in words is "one hundred twenty million, one hundred eighty-five thousand, five hundred five".