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120125 = 53312
BaseRepresentation
bin11101010100111101
320002210002
4131110331
512321000
62324045
71010135
oct352475
9202702
10120125
1182285
1259625
13428a5
1431ac5
15258d5
hex1d53d

120125 has 12 divisors (see below), whose sum is σ = 154908. Its totient is φ = 93000.

The previous prime is 120121. The next prime is 120157. The reversal of 120125 is 521021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 116281 = 62^2 + 341^2 .

It is not a de Polignac number, because 120125 - 22 = 120121 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121) 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, 3860 + ... + 3890.

It is an arithmetic number, because the mean of its divisors is an integer number (12909).

2120125 is an apocalyptic number.

It is an amenable number.

120125 is a deficient number, since it is larger than the sum of its proper divisors (34783).

120125 is an frugal number, since it uses more digits than its factorization.

120125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 120125 is about 346.5905365125. The cubic root of 120125 is about 49.3413620161.

Multiplying 120125 by its product of nonzero digits (20), we get a square (2402500 = 15502).

Adding to 120125 its reverse (521021), we get a palindrome (641146).

The spelling of 120125 in words is "one hundred twenty thousand, one hundred twenty-five".

Divisors: 1 5 25 31 125 155 775 961 3875 4805 24025 120125