Search a number
-
+
12220212123 = 33764657207
BaseRepresentation
bin10110110000110000…
…11010001110011011
31011112122111002121000
423120120122032123
5200011333241443
65340333320043
7611554042410
oct133030321633
934478432530
1012220212123
115200a9a269
122450636023
1311c9977962
1483cd82107
154b7c6d8d3
hex2d861a39b

12220212123 has 16 divisors (see below), whose sum is σ = 20690306560. Its totient is φ = 6982978248.

The previous prime is 12220212089. The next prime is 12220212127. The reversal of 12220212123 is 32121202221.

12220212123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12220212123 - 28 = 12220211867 is a prime.

It is a super-2 number, since 2×122202121232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220212096 and 12220212105.

It is not an unprimeable number, because it can be changed into a prime (12220212127) 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, 32328415 + ... + 32328792.

It is an arithmetic number, because the mean of its divisors is an integer number (1293144160).

Almost surely, 212220212123 is an apocalyptic number.

12220212123 is a deficient number, since it is larger than the sum of its proper divisors (8470094437).

12220212123 is an equidigital number, since it uses as much as digits as its factorization.

12220212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64657223 (or 64657217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12220212123 its reverse (32121202221), we get a palindrome (44341414344).

The spelling of 12220212123 in words is "twelve billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 189 64657207 193971621 452600449 581914863 1357801347 1745744589 4073404041 12220212123