Search a number
-
+
12111112112 = 241168813137
BaseRepresentation
bin10110100011110000…
…01110011110110000
31011021001012020111212
423101320032132300
5144300421041422
65321435055252
7606060516521
oct132170163660
934231166455
1012111112112
115155452870
12241bba1528
1311b0199138
1482c6a2848
154ad3bc9e2
hex2d1e0e7b0

12111112112 has 20 divisors (see below), whose sum is σ = 25598487336. Its totient is φ = 5505050880.

The previous prime is 12111112109. The next prime is 12111112121. The reversal of 12111112112 is 21121111121.

12111112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 34406393 + ... + 34406744.

Almost surely, 212111112112 is an apocalyptic number.

It is an amenable number.

12111112112 is an abundant number, since it is smaller than the sum of its proper divisors (13487375224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12111112112 is a wasteful number, since it uses less digits than its factorization.

12111112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68813156 (or 68813150 counting only the distinct ones).

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

Adding to 12111112112 its reverse (21121111121), we get a palindrome (33232223233).

Subtracting 12111112112 from its reverse (21121111121), we obtain a palindrome (9009999009).

The spelling of 12111112112 in words is "twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 68813137 137626274 275252548 550505096 756944507 1101010192 1513889014 3027778028 6055556056 12111112112