Search a number
-
+
12201102001121 = 117339679382933
BaseRepresentation
bin1011000110001100101001…
…0110011100001111100001
31121012102011202222020122012
42301203022112130033201
53044400324103013441
641541035303522305
72366333452555535
oct261431226341741
947172152866565
1012201102001121
113984504aa7830
1214507a4459395
136a6736110517
1430277219dbc5
151625a2ec39eb
hexb18ca59c3e1

12201102001121 has 16 divisors (see below), whose sum is σ = 13493001154560. Its totient is φ = 10939662645120.

The previous prime is 12201102001117. The next prime is 12201102001159. The reversal of 12201102001121 is 12110020110221.

It is not a de Polignac number, because 12201102001121 - 22 = 12201102001117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201102001096 and 12201102001105.

It is not an unprimeable number, because it can be changed into a prime (12201102001321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31670771 + ... + 32053703.

It is an arithmetic number, because the mean of its divisors is an integer number (843312572160).

Almost surely, 212201102001121 is an apocalyptic number.

12201102001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201102001121 is a deficient number, since it is larger than the sum of its proper divisors (1291899153439).

12201102001121 is a wasteful number, since it uses less digits than its factorization.

12201102001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422696.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12201102001121 its reverse (12110020110221), we get a palindrome (24311122111342).

The spelling of 12201102001121 in words is "twelve trillion, two hundred one billion, one hundred two million, one thousand, one hundred twenty-one".

Divisors: 1 11 73 803 39679 382933 436469 2896567 4212263 27954109 31862237 307495199 15194398507 167138383577 1109191091011 12201102001121