Search a number
-
+
12011210221200 = 24352291217283607
BaseRepresentation
bin1010111011001001001111…
…1010110010011010010000
31120112021000220002100022020
42232302103322302122100
53033242424304034300
641313512424011440
72346531662223111
oct256622372623220
946467026070266
1012011210221200
113910a20046a23
12141ba2a000b80
1369186303c978
142d74ba772208
1515c68c1878a0
hexaec93eb2690

12011210221200 has 240 divisors, whose sum is σ = 39835511614080. Its totient is φ = 3089989468160.

The previous prime is 12011210221193. The next prime is 12011210221271. The reversal of 12011210221200 is 212201211021.

12011210221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011210221200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42209797 + ... + 42493403.

It is an arithmetic number, because the mean of its divisors is an integer number (165981298392).

Almost surely, 212011210221200 is an apocalyptic number.

12011210221200 is a gapful number since it is divisible by the number (10) 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 12011210221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917755807040).

12011210221200 is an abundant number, since it is smaller than the sum of its proper divisors (27824301392880).

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

12011210221200 is a wasteful number, since it uses less digits than its factorization.

12011210221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284874 (or 284863 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12011210221200 its reverse (212201211021), we get a palindrome (12223411432221).

The spelling of 12011210221200 in words is "twelve trillion, eleven billion, two hundred ten million, two hundred twenty-one thousand, two hundred".