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12112213212 = 22321130586397
BaseRepresentation
bin10110100011111000…
…11011010011011100
31011021010021011221100
423101330123103130
5144301211310322
65321514433100
7606103053651
oct132174332334
934233234840
1012112213212
115156035070
122420432790
1311b0493388
1482c8abc28
154ad538dac
hex2d1f1b4dc

12112213212 has 36 divisors (see below), whose sum is σ = 33400346616. Its totient is φ = 3670367520.

The previous prime is 12112213199. The next prime is 12112213213. The reversal of 12112213212 is 21231221121.

12112213212 is a `hidden beast` number, since 121 + 1 + 221 + 321 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112213213) 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 11 ways as a sum of consecutive naturals, for example, 15292803 + ... + 15293594.

It is an arithmetic number, because the mean of its divisors is an integer number (927787406).

Almost surely, 212112213212 is an apocalyptic number.

12112213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12112213212 is an abundant number, since it is smaller than the sum of its proper divisors (21288133404).

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

12112213212 is a wasteful number, since it uses less digits than its factorization.

12112213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30586418 (or 30586413 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12112213212 its reverse (21231221121), we get a palindrome (33343434333).

The spelling of 12112213212 in words is "twelve billion, one hundred twelve million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 30586397 61172794 91759191 122345588 183518382 275277573 336450367 367036764 550555146 672900734 1009351101 1101110292 1345801468 2018702202 3028053303 4037404404 6056106606 12112213212