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12115125 = 325311289
BaseRepresentation
bin101110001101…
…110010110101
3211210111211100
4232031302311
511100141000
61111400313
7204656031
oct56156265
924714740
1012115125
116925300
124083099
132682519
1418751c1
1510e4a00
hexb8dcb5

12115125 has 72 divisors (see below), whose sum is σ = 24275160. Its totient is φ = 5808000.

The previous prime is 12115123. The next prime is 12115133. The reversal of 12115125 is 52151121.

It can be written as a sum of positive squares in 4 ways, for example, as 1656369 + 10458756 = 1287^2 + 3234^2 .

It is not a de Polignac number, because 12115125 - 21 = 12115123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12115098 and 12115107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136081 + ... + 136169.

It is an arithmetic number, because the mean of its divisors is an integer number (337155).

Almost surely, 212115125 is an apocalyptic number.

12115125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12115125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12115125 is a wasteful number, since it uses less digits than its factorization.

12115125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its digits is 100, while the sum is 18.

The square root of 12115125 is about 3480.6788131053. The cubic root of 12115125 is about 229.6726597381.

Adding to 12115125 its reverse (52151121), we get a palindrome (64266246).

It can be divided in two parts, 1211 and 5125, that added together give a palindrome (6336).

The spelling of 12115125 in words is "twelve million, one hundred fifteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 89 99 121 125 165 225 267 275 363 375 445 495 605 801 825 979 1089 1125 1335 1375 1815 2225 2475 2937 3025 4005 4125 4895 5445 6675 8811 9075 10769 11125 12375 14685 15125 20025 24475 27225 32307 33375 44055 45375 53845 73425 96921 100125 122375 136125 161535 220275 269225 367125 484605 807675 1101375 1346125 2423025 4038375 12115125