Search a number
-
+
12002201211011 = 1147211310986791
BaseRepresentation
bin1010111010100111101011…
…1100001001000010000011
31120111101210001001012122012
42232221322330021002003
53033121002002223021
641305422441403135
72346062510004224
oct256517274110203
946441701035565
1012002201211011
113908117761260
12141a134a994ab
13690a587564cb
142d6ca409324b
1515c3112cb35b
hexaea7af09083

12002201211011 has 16 divisors (see below), whose sum is σ = 13378221093888. Its totient is φ = 10673886220800.

The previous prime is 12002201210999. The next prime is 12002201211029. The reversal of 12002201211011 is 11011210220021.

It is not a de Polignac number, because 12002201211011 - 218 = 12002200948867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002201211811) 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, 4400975 + ... + 6585816.

It is an arithmetic number, because the mean of its divisors is an integer number (836138818368).

Almost surely, 212002201211011 is an apocalyptic number.

12002201211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002201211011 is a deficient number, since it is larger than the sum of its proper divisors (1376019882877).

12002201211011 is a wasteful number, since it uses less digits than its factorization.

12002201211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988962.

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

Adding to 12002201211011 its reverse (11011210220021), we get a palindrome (23013411431032).

The spelling of 12002201211011 in words is "twelve trillion, two billion, two hundred one million, two hundred eleven thousand, eleven".

Divisors: 1 11 47 517 2113 23243 99311 1092421 10986791 120854701 516379177 5680170947 23215089383 255365983213 1091109201001 12002201211011