Search a number
-
+
122125225 = 52137181197
BaseRepresentation
bin1110100011101…
…11101110101001
322111210121022111
413101313232221
5222231001400
620041322321
73012022135
oct721675651
9274717274
10122125225
1162a33542
1234a963a1
131c3bc361
14123103c5
15aac53ba
hex7477ba9

122125225 has 24 divisors (see below), whose sum is σ = 154162008. Its totient is φ = 95961600.

The previous prime is 122125187. The next prime is 122125247. The reversal of 122125225 is 522521221.

It can be written as a sum of positive squares in 12 ways, for example, as 29041321 + 93083904 = 5389^2 + 9648^2 .

It is not a de Polignac number, because 122125225 - 27 = 122125097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122125196 and 122125205.

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 23 ways as a sum of consecutive naturals, for example, 619827 + ... + 620023.

It is an arithmetic number, because the mean of its divisors is an integer number (6423417).

Almost surely, 2122125225 is an apocalyptic number.

It is an amenable number.

122125225 is a deficient number, since it is larger than the sum of its proper divisors (32036783).

122125225 is a wasteful number, since it uses less digits than its factorization.

122125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 122125225 is about 11051.0282327031. The cubic root of 122125225 is about 496.1372010860.

Adding to 122125225 its reverse (522521221), we get a palindrome (644646446).

The spelling of 122125225 in words is "one hundred twenty-two million, one hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 137 181 197 685 905 985 3425 4525 4925 24797 26989 35657 123985 134945 178285 619925 674725 891425 4885009 24425045 122125225