Search a number
-
+
12118338225 = 32527217194183
BaseRepresentation
bin10110100100100111…
…10010101010110001
31011021112210100212200
423102103302222301
5144304243310400
65322254013413
7606206114100
oct132223625261
934245710780
1012118338225
115159538964
1224224a7269
1311b1829246
1482d624037
154add48b00
hex2d24f2ab1

12118338225 has 432 divisors, whose sum is σ = 29175007680. Its totient is φ = 4760985600.

The previous prime is 12118338163. The next prime is 12118338283. The reversal of 12118338225 is 52283381121.

12118338225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12118338225 - 27 = 12118338097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12118338225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 146004034 + ... + 146004116.

It is an arithmetic number, because the mean of its divisors is an integer number (67534740).

Almost surely, 212118338225 is an apocalyptic number.

12118338225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12118338225 is an abundant number, since it is smaller than the sum of its proper divisors (17056669455).

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

12118338225 is a wasteful number, since it uses less digits than its factorization.

12118338225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 12118338225 in words is "twelve billion, one hundred eighteen million, three hundred thirty-eight thousand, two hundred twenty-five".