Search a number
-
+
12122301211101 = 321499039747361
BaseRepresentation
bin1011000001100111000101…
…1101010010000111011101
31120220212210000101100110200
42300121301131102013131
53042102433102223401
641440524105254113
72360543632112124
oct260316135220735
946825700340420
1012122301211101
113954048007984
121439472194339
1369c188584413
142dca187caabb
151604dee36686
hexb06717521dd

12122301211101 has 12 divisors (see below), whose sum is σ = 17627507355900. Its totient is φ = 8027295655680.

The previous prime is 12122301211073. The next prime is 12122301211117. The reversal of 12122301211101 is 10111210322121.

It is a happy number.

12122301211101 is a `hidden beast` number, since 1 + 212 + 230 + 1 + 211 + 10 + 1 = 666.

12122301211101 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 2 ways, for example, as 1856204605476 + 10266096605625 = 1362426^2 + 3204075^2 .

It is not a de Polignac number, because 12122301211101 - 26 = 12122301211037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122301211201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4519872340 + ... + 4519875021.

It is an arithmetic number, because the mean of its divisors is an integer number (1468958946325).

Almost surely, 212122301211101 is an apocalyptic number.

It is an amenable number.

12122301211101 is a deficient number, since it is larger than the sum of its proper divisors (5505206144799).

12122301211101 is a wasteful number, since it uses less digits than its factorization.

12122301211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039747516 (or 9039747513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12122301211101 its reverse (10111210322121), we get a palindrome (22233511533222).

The spelling of 12122301211101 in words is "twelve trillion, one hundred twenty-two billion, three hundred one million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 9 149 447 1341 9039747361 27119242083 81357726249 1346922356789 4040767070367 12122301211101