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122130125 = 5313174421
BaseRepresentation
bin1110100011110…
…00111011001101
322111210212000222
413101320323031
5222231131000
620041401125
73012042335
oct721707315
9274725028
10122130125
1162a37197
1234a991a5
131c3c1660
14123120c5
15aac6a85
hex7478ecd

122130125 has 32 divisors (see below), whose sum is σ = 173837664. Its totient is φ = 84864000.

The previous prime is 122130083. The next prime is 122130133. The reversal of 122130125 is 521031221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 70778569 + 51351556 = 8413^2 + 7166^2 .

It is not a de Polignac number, because 122130125 - 216 = 122064589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25415 + ... + 29835.

It is an arithmetic number, because the mean of its divisors is an integer number (5432427).

Almost surely, 2122130125 is an apocalyptic number.

It is an amenable number.

122130125 is a deficient number, since it is larger than the sum of its proper divisors (51707539).

122130125 is a wasteful number, since it uses less digits than its factorization.

122130125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 122130125 is about 11051.2499293066. The cubic root of 122130125 is about 496.1438364604.

Adding to 122130125 its reverse (521031221), we get a palindrome (643161346).

The spelling of 122130125 in words is "one hundred twenty-two million, one hundred thirty thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 221 325 425 1105 1625 2125 4421 5525 22105 27625 57473 75157 110525 287365 375785 552625 977041 1436825 1878925 4885205 7184125 9394625 24426025 122130125