Search a number
-
+
12118824112608 = 25331719115337663
BaseRepresentation
bin1011000001011010001000…
…1101001101000111100000
31120220112210200121110001000
42300112202031031013200
53042023322433100413
641435151055112000
72360361521214543
oct260264215150740
946815720543030
1012118824112608
113952623302364
121438861812600
1369ba530a5aa5
142dc7a8ab085a
15160389a50073
hexb05a234d1e0

12118824112608 has 384 divisors, whose sum is σ = 39430773043200. Its totient is φ = 3598660141056.

The previous prime is 12118824112601. The next prime is 12118824112649. The reversal of 12118824112608 is 80621142881121.

12118824112608 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 8 + 8 + 24 + 1 + 12 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12118824112601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321751185 + ... + 321788847.

It is an arithmetic number, because the mean of its divisors is an integer number (102684304800).

Almost surely, 212118824112608 is an apocalyptic number.

12118824112608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12118824112608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715386521600).

12118824112608 is an abundant number, since it is smaller than the sum of its proper divisors (27311948930592).

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

12118824112608 is a wasteful number, since it uses less digits than its factorization.

12118824112608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38871 (or 38857 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

Adding to 12118824112608 its reverse (80621142881121), we get a palindrome (92739966993729).

The spelling of 12118824112608 in words is "twelve trillion, one hundred eighteen billion, eight hundred twenty-four million, one hundred twelve thousand, six hundred eight".