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120127 = 71312
BaseRepresentation
bin11101010100111111
320002210011
4131110333
512321002
62324051
71010140
oct352477
9202704
10120127
1182287
1259627
13428a7
1431ac7
15258d7
hex1d53f

120127 has 6 divisors (see below), whose sum is σ = 138344. Its totient is φ = 102180.

The previous prime is 120121. The next prime is 120157. The reversal of 120127 is 721021.

It is not a de Polignac number, because 120127 - 215 = 87359 is a prime.

It is a super-2 number, since 2×1201272 = 28860992258, which contains 22 as substring.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 852 + ... + 982.

2120127 is an apocalyptic number.

120127 is a deficient number, since it is larger than the sum of its proper divisors (18217).

120127 is an frugal number, since it uses more digits than its factorization.

120127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 120127 is about 346.5934217495. The cubic root of 120127 is about 49.3416358480.

Multiplying 120127 by its sum of digits (13), we get a palindrome (1561651).

Multiplying 120127 by its product of nonzero digits (28), we get a square (3363556 = 18342).

Adding to 120127 its reverse (721021), we get a palindrome (841148).

The spelling of 120127 in words is "one hundred twenty thousand, one hundred twenty-seven", and thus it is an iban number.

Divisors: 1 7 131 917 17161 120127