Search a number
-
+
12121111221111 = 3279149114415949
BaseRepresentation
bin1011000001100010101010…
…0001110101001101110111
31120220202201002012121002100
42300120222201311031313
53042043013433033421
641440210035513143
72360502302264424
oct260305241651567
946822632177070
1012121111221111
113953597318882
12143919b7587b3
1369c028b86229
142dc944744d4b
15160470726c26
hexb062a875377

12121111221111 has 24 divisors (see below), whose sum is σ = 17848888200000. Its totient is φ = 7924906222272.

The previous prime is 12121111221083. The next prime is 12121111221187. The reversal of 12121111221111 is 11112211112121.

12121111221111 is a `hidden beast` number, since 121 + 211 + 1 + 1 + 221 + 111 = 666.

12121111221111 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 12121111221111 - 234 = 12103931351927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121111221811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57102036 + ... + 57313913.

It is an arithmetic number, because the mean of its divisors is an integer number (743703675000).

Almost surely, 212121111221111 is an apocalyptic number.

12121111221111 is a deficient number, since it is larger than the sum of its proper divisors (5727776978889).

12121111221111 is a wasteful number, since it uses less digits than its factorization.

12121111221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114416183 (or 114416180 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 12121111221111 its reverse (11112211112121), we get a palindrome (23233322333232).

The spelling of 12121111221111 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 79 149 237 447 711 1341 11771 35313 105939 114415949 343247847 1029743541 9038859971 17047976401 27116579913 51143929203 81349739739 153431787609 1346790135679 4040370407037 12121111221111