Search a number
-
+
12118707225 = 32524121792
BaseRepresentation
bin10110100100101010…
…01100110000011001
31011021120111010001100
423102111030300121
5144304342112400
65322305542013
7606212211642
oct132225146031
934246433040
1012118707225
115159770119
122422644909
1311b19281a1
1482d6bc6c9
154addbd100
hex2d254cc19

12118707225 has 81 divisors (see below), whose sum is σ = 22373263549. Its totient is φ = 6270441600.

The previous prime is 12118707187. The next prime is 12118707241. The reversal of 12118707225 is 52270781121.

The square root of 12118707225 is 110085.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5100959241 + 7017747984 = 71421^2 + 83772^2 .

It is not a de Polignac number, because 12118707225 - 223 = 12110318617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12118707225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 67702186 + ... + 67702364.

Almost surely, 212118707225 is an apocalyptic number.

12118707225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12118707225 is the 110085-th square number.

12118707225 is the 55043-rd centered octagonal number.

It is an amenable number.

12118707225 is a deficient number, since it is larger than the sum of its proper divisors (10254556324).

12118707225 is an equidigital number, since it uses as much as digits as its factorization.

12118707225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Multiplying 12118707225 by its sum of digits (36), we get a square (436273460100 = 6605102).

The spelling of 12118707225 in words is "twelve billion, one hundred eighteen million, seven hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 179 205 225 369 537 615 895 1025 1611 1681 1845 2685 3075 4475 5043 7339 8055 8405 9225 13425 15129 22017 25215 32041 36695 40275 42025 66051 75645 96123 110085 126075 160205 183475 288369 300899 330255 378225 480615 550425 801025 902697 1313681 1441845 1504495 1651275 2403075 2708091 3941043 4513485 6568405 7209225 7522475 11823129 13540455 19705215 22567425 32842025 53860921 59115645 67702275 98526075 161582763 269304605 295578225 484748289 807913815 1346523025 2423741445 4039569075 12118707225