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12241125 = 35531331
BaseRepresentation
bin101110101100…
…100011100101
3212000220200000
4232230203211
511113204000
61114211513
7206022261
oct56544345
925026600
1012241125
116a00a36
124123b99
1326c7990
1418a90a1
15111c000
hexbac8e5

12241125 has 96 divisors (see below), whose sum is σ = 25439232. Its totient is φ = 5832000.

The previous prime is 12241093. The next prime is 12241127. The reversal of 12241125 is 52114221.

It is not a de Polignac number, because 12241125 - 25 = 12241093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12241098 and 12241107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394860 + ... + 394890.

It is an arithmetic number, because the mean of its divisors is an integer number (264992).

Almost surely, 212241125 is an apocalyptic number.

12241125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12241125 is an abundant number, since it is smaller than the sum of its proper divisors (13198107).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12241125 is an equidigital number, since it uses as much as digits as its factorization.

12241125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12241125 is about 3498.7319131365. The cubic root of 12241125 is about 230.4661309192.

Adding to 12241125 its reverse (52114221), we get a palindrome (64355346).

The spelling of 12241125 in words is "twelve million, two hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 31 39 45 65 75 81 93 117 125 135 155 195 225 243 279 325 351 375 403 405 465 585 675 775 837 975 1053 1125 1209 1215 1395 1625 1755 2015 2025 2325 2511 2925 3159 3375 3627 3875 4185 4875 5265 6045 6075 6975 7533 8775 10075 10125 10881 11625 12555 14625 15795 18135 20925 26325 30225 30375 32643 34875 37665 43875 50375 54405 62775 78975 90675 97929 104625 131625 151125 163215 188325 272025 313875 394875 453375 489645 816075 941625 1360125 2448225 4080375 12241125