Search a number
-
+
12122220011111 = 726315241432031
BaseRepresentation
bin1011000001100110110010…
…0111100001111001100111
31120220212120100120222000122
42300121230213201321213
53042102301310323421
641440512045032155
72360541624660350
oct260315447417147
946825510528018
1012122220011111
113954006197151
12143944ab5565b
1369c1747c3aa2
142dca0bad0d27
151604d7c472ab
hexb066c9e1e67

12122220011111 has 16 divisors (see below), whose sum is σ = 13907587043328. Its totient is φ = 10350263678400.

The previous prime is 12122220011087. The next prime is 12122220011141. The reversal of 12122220011111 is 11111002222121.

It is a cyclic number.

It is not a de Polignac number, because 12122220011111 - 26 = 12122220011047 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122220011111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122220011141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27842666 + ... + 28274696.

It is an arithmetic number, because the mean of its divisors is an integer number (869224190208).

Almost surely, 212122220011111 is an apocalyptic number.

12122220011111 is a deficient number, since it is larger than the sum of its proper divisors (1785367032217).

12122220011111 is a wasteful number, since it uses less digits than its factorization.

12122220011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447542.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122220011111 its reverse (11111002222121), we get a palindrome (23233222233232).

The spelling of 12122220011111 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty million, eleven thousand, one hundred eleven".

Divisors: 1 7 263 1841 15241 106687 432031 3024217 4008383 28058681 113624153 795369071 6584584471 46092091297 1731745715873 12122220011111