Search a number
-
+
12112222221 = 331140781893
BaseRepresentation
bin10110100011111000…
…11101100000001101
31011021010021122022000
423101330131200031
5144301212102341
65321514542513
7606103122141
oct132174354015
934233248260
1012112222221
115156040910
122420437a39
1311b04974c8
1482c8b1221
154ad53b8b6
hex2d1f1d80d

12112222221 has 16 divisors (see below), whose sum is σ = 19575309120. Its totient is φ = 7340740560.

The previous prime is 12112222219. The next prime is 12112222223. The reversal of 12112222221 is 12222221121.

It is a happy number.

12112222221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12112222219) and next prime (12112222223).

It is not a de Polignac number, because 12112222221 - 21 = 12112222219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12112222194 and 12112222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112222223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20390650 + ... + 20391243.

It is an arithmetic number, because the mean of its divisors is an integer number (1223456820).

Almost surely, 212112222221 is an apocalyptic number.

12112222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112222221 is a deficient number, since it is larger than the sum of its proper divisors (7463086899).

12112222221 is a wasteful number, since it uses less digits than its factorization.

12112222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40781913 (or 40781907 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 12112222221 its reverse (12222221121), we get a palindrome (24334443342).

It can be divided in two parts, 121 and 12222221, that multiplied together give a palindrome (1478888741).

The spelling of 12112222221 in words is "twelve billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 40781893 122345679 367037037 448600823 1101111111 1345802469 4037407407 12112222221