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12122441331 = 3711134036777
BaseRepresentation
bin10110100101000110…
…11100011001110011
31011021211111211021120
423102203130121303
5144311321110311
65322521553323
7606256023360
oct132243343163
934254454246
1012122441331
115160890660
122423945843
1311b2634a10
1482ddb1467
154ae3a9706
hex2d28dc673

12122441331 has 32 divisors (see below), whose sum is σ = 21701718528. Its totient is φ = 5812957440.

The previous prime is 12122441297. The next prime is 12122441333. The reversal of 12122441331 is 13314422121.

It is not a de Polignac number, because 12122441331 - 26 = 12122441267 is a prime.

It is a super-2 number, since 2×121224413312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122441333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015386 + ... + 2021391.

It is an arithmetic number, because the mean of its divisors is an integer number (678178704).

Almost surely, 212122441331 is an apocalyptic number.

12122441331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122441331 is a deficient number, since it is larger than the sum of its proper divisors (9579277197).

12122441331 is a wasteful number, since it uses less digits than its factorization.

12122441331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036811.

The product of its digits is 1152, while the sum is 24.

Adding to 12122441331 its reverse (13314422121), we get a palindrome (25436863452).

The spelling of 12122441331 in words is "twelve billion, one hundred twenty-two million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 4036777 12110331 28257439 44404547 52478101 84772317 133213641 157434303 310831829 367346707 577259111 932495487 1102040121 1731777333 4040813777 12122441331