Search a number
-
+
12112200203232 = 25317411331313597
BaseRepresentation
bin1011000001000001011101…
…1000111111101111100000
31120212220201001112222121010
42300100113120333233200
53041421241223000412
641432133513500520
72360035420006443
oct260202730775740
946786631488533
1012112200203232
11394a834283198
121437513411740
1369b23898c79c
142dc33b09365a
151600ed27533c
hexb041763fbe0

12112200203232 has 192 divisors, whose sum is σ = 34491011091264. Its totient is φ = 3706674216960.

The previous prime is 12112200203231. The next prime is 12112200203251. The reversal of 12112200203232 is 23230200221121.

12112200203232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12112200203199 and 12112200203208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112200203231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890792658 + ... + 890806254.

It is an arithmetic number, because the mean of its divisors is an integer number (179640682767).

Almost surely, 212112200203232 is an apocalyptic number.

12112200203232 is a gapful number since it is divisible by the number (12) 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 12112200203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245505545632).

12112200203232 is an abundant number, since it is smaller than the sum of its proper divisors (22378810888032).

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

12112200203232 is a wasteful number, since it uses less digits than its factorization.

12112200203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26981 (or 26973 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12112200203232 its reverse (23230200221121), we get a palindrome (35342400424353).

The spelling of 12112200203232 in words is "twelve trillion, one hundred twelve billion, two hundred million, two hundred three thousand, two hundred thirty-two".