Search a number
-
+
12211111112 = 232794154629
BaseRepresentation
bin10110101111101011…
…01100010011001000
31011112000100201100112
423113311230103020
5200002021023422
65335410253452
7611413506014
oct132765542310
934460321315
1012211111112
1151a6943572
122449587288
1311c7b0c345
1483ba93544
154b7071ee2
hex2d7d6c4c8

12211111112 has 16 divisors (see below), whose sum is σ = 22897071900. Its totient is φ = 6105225280.

The previous prime is 12211111111. The next prime is 12211111117. The reversal of 12211111112 is 21111111221.

It can be written as a sum of positive squares in 2 ways, for example, as 12129497956 + 81613156 = 110134^2 + 9034^2 .

It is a super-2 number, since 2×122111111122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (12211111111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196214 + ... + 250842.

Almost surely, 212211111112 is an apocalyptic number.

It is an amenable number.

12211111112 is a deficient number, since it is larger than the sum of its proper divisors (10685960788).

12211111112 is a wasteful number, since it uses less digits than its factorization.

12211111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82576 (or 82572 counting only the distinct ones).

The product of its digits is 8, while the sum is 14.

Adding to 12211111112 its reverse (21111111221), we get a palindrome (33322222333).

The spelling of 12211111112 in words is "twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 27941 54629 55882 109258 111764 218516 223528 437032 1526388889 3052777778 6105555556 12211111112