Search a number
-
+
12200221221111 = 32711147671192181
BaseRepresentation
bin1011000110001001010111…
…0110100010000011110111
31121012022220101121222121100
42301202111312202003313
53044342023113033421
641540412041421143
72366302566220020
oct261422566420367
947168811558540
1012200221221111
1139840a2902770
12145059949a7b3
136a66257b6211
143026cb207c47
151625509e1c26
hexb1895da20f7

12200221221111 has 48 divisors (see below), whose sum is σ = 21972467432448. Its totient is φ = 6337342756800.

The previous prime is 12200221221107. The next prime is 12200221221119. The reversal of 12200221221111 is 11112212200221.

12200221221111 is a `hidden beast` number, since 1 + 220 + 0 + 221 + 2 + 211 + 11 = 666.

12200221221111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12200221221111 - 22 = 12200221221107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200221221119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9637441 + ... + 10829621.

It is an arithmetic number, because the mean of its divisors is an integer number (457759738176).

Almost surely, 212200221221111 is an apocalyptic number.

12200221221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200221221111 is a deficient number, since it is larger than the sum of its proper divisors (9772246211337).

12200221221111 is a wasteful number, since it uses less digits than its factorization.

12200221221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206972 (or 1206969 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12200221221111 its reverse (11112212200221), we get a palindrome (23312433421332).

The spelling of 12200221221111 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 14767 44301 103369 132903 162437 310107 487311 930321 1137059 1192181 1461933 3411177 3576543 8345267 10233531 10729629 13113991 25035801 39341973 75107403 91797937 118025919 275393811 826181433 17604936827 52814810481 123234557789 158444431443 193654305097 369703673367 580962915291 1109111020101 1355580135679 1742888745873 4066740407037 12200221221111