Search a number
-
+
12201222200200 = 235211101130742013
BaseRepresentation
bin1011000110001101000110…
…0000111101101110001000
31121012102111011010222202221
42301203101200331232020
53044401100340401300
641541055240103424
72366336442336265
oct261432140755610
947172434128687
1012201222200200
113984566935110
121450818764b74
136a6754ca6c37
1430278412c26c
151625ad81831a
hexb18d183db88

12201222200200 has 192 divisors, whose sum is σ = 31277796217920. Its totient is φ = 4389413760000.

The previous prime is 12201222200191. The next prime is 12201222200221. The reversal of 12201222200200 is 200222210221.

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, 290394394 + ... + 290436406.

It is an arithmetic number, because the mean of its divisors is an integer number (162905188635).

Almost surely, 212201222200200 is an apocalyptic number.

12201222200200 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 12201222200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638898108960).

12201222200200 is an abundant number, since it is smaller than the sum of its proper divisors (19076574017720).

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

12201222200200 is a wasteful number, since it uses less digits than its factorization.

12201222200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43448 (or 43439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12201222200200 its reverse (200222210221), we get a palindrome (12401444410421).

The spelling of 12201222200200 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred thousand, two hundred".