Search a number
-
+
12011222200100 = 2252120112222001
BaseRepresentation
bin1010111011001001010010…
…1000011110111100100100
31120112021001201121221021012
42232302110220132330210
53033242440340400400
641313513532441352
72346532166104034
oct256622450367444
946467051557235
1012011222200100
113910a26888942
12141ba32019258
13691865675186
142d74bc1ad8c4
1515c68d251d35
hexaec94a1ef24

12011222200100 has 18 divisors (see below), whose sum is σ = 26064352174434. Its totient is φ = 4804488880000.

The previous prime is 12011222200049. The next prime is 12011222200111. The reversal of 12011222200100 is 100222211021.

12011222200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3329289233956 + 8681932966144 = 1824634^2 + 2946512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60056110901 + ... + 60056111100.

Almost surely, 212011222200100 is an apocalyptic number.

12011222200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011222200100 is an abundant number, since it is smaller than the sum of its proper divisors (14053129974334).

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

12011222200100 is a wasteful number, since it uses less digits than its factorization.

12011222200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120112222015 (or 120112222008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12011222200100 its reverse (100222211021), we get a palindrome (12111444411121).

The spelling of 12011222200100 in words is "twelve trillion, eleven billion, two hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120112222001 240224444002 480448888004 600561110005 1201122220010 2402244440020 3002805550025 6005611100050 12011222200100