Search a number
-
+
12111112122 = 239720809471
BaseRepresentation
bin10110100011110000…
…01110011110111010
31011021001012020112020
423101320032132322
5144300421041442
65321435055310
7606060516534
oct132170163672
934231166466
1012111112122
11515545287a
12241bba1536
1311b0199145
1482c6a2854
154ad3bc9ec
hex2d1e0e7ba

12111112122 has 16 divisors (see below), whose sum is σ = 24471939072. Its totient is φ = 3995418240.

The previous prime is 12111112121. The next prime is 12111112151. The reversal of 12111112122 is 22121111121.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12111112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10404154 + ... + 10405317.

It is an arithmetic number, because the mean of its divisors is an integer number (1529496192).

Almost surely, 212111112122 is an apocalyptic number.

12111112122 is an abundant number, since it is smaller than the sum of its proper divisors (12360826950).

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

12111112122 is a wasteful number, since it uses less digits than its factorization.

12111112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20809573.

The product of its digits is 16, while the sum is 15.

Adding to 12111112122 its reverse (22121111121), we get a palindrome (34232223243).

It can be divided in two parts, 121111121 and 22, that multiplied together give a palindrome (2664444662).

The spelling of 12111112122 in words is "twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 97 194 291 582 20809471 41618942 62428413 124856826 2018518687 4037037374 6055556061 12111112122