120005200 has 60 divisors (see below), whose sum is σ = 329507680. Its totient is φ = 41143680.

The previous prime is 120005173. The next prime is 120005201. The reversal of 120005200 is 2500021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120005201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18630 + ... + 24229.

Almost surely, 2^120005200 is an apocalyptic number.

120005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120005200 is an abundant number, since it is smaller than the sum of its proper divisors (209502480).

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

120005200 is a wasteful number, since it uses less digits than its factorization.

120005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42884 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 120005200 is about 10954.6884939737. The cubic root of 120005200 is about 493.2495393758.

Adding to 120005200 its reverse (2500021), we get a palindrome (122505221).

The spelling of 120005200 in words is "one hundred twenty million, five thousand, two hundred".