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12123311211 = 3211122457689
BaseRepresentation
bin10110100101001101…
…10000110001101011
31011021220011000112100
423102212300301223
5144312031424321
65322552344443
7606266305434
oct132246606153
934256130470
1012123311211
115161325170
1224240a5123
1311b287a93b
1483015a48b
154ae4cc326
hex2d29b0c6b

12123311211 has 12 divisors (see below), whose sum is σ = 19103399640. Its totient is φ = 7347461280.

The previous prime is 12123311203. The next prime is 12123311219. The reversal of 12123311211 is 11211332121.

12123311211 is a `hidden beast` number, since 1 + 212 + 331 + 121 + 1 = 666.

12123311211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12123311203) and next prime (12123311219).

It is not a de Polignac number, because 12123311211 - 23 = 12123311203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12123311219) 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 11 ways as a sum of consecutive naturals, for example, 61228746 + ... + 61228943.

It is an arithmetic number, because the mean of its divisors is an integer number (1591949970).

Almost surely, 212123311211 is an apocalyptic number.

12123311211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12123311211 is a deficient number, since it is larger than the sum of its proper divisors (6980088429).

12123311211 is a wasteful number, since it uses less digits than its factorization.

12123311211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122457706 (or 122457703 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12123311211 its reverse (11211332121), we get a palindrome (23334643332).

It can be divided in two parts, 121 and 23311211, that added together give a palindrome (23311332).

The spelling of 12123311211 in words is "twelve billion, one hundred twenty-three million, three hundred eleven thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 122457689 367373067 1102119201 1347034579 4041103737 12123311211