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12124404131 = 74171392137
BaseRepresentation
bin10110100101010101…
…11011100110100011
31011021222012112201212
423102222323212203
5144312321413011
65323032020335
7606311510000
oct132252734643
934258175655
1012124404131
115161a01304
1224245316ab
1311b2b71238
148303628a7
154ae64608b
hex2d2abb9a3

12124404131 has 40 divisors (see below), whose sum is σ = 15091115760. Its totient is φ = 9706120704.

The previous prime is 12124404119. The next prime is 12124404151. The reversal of 12124404131 is 13140442121.

It is not a de Polignac number, because 12124404131 - 214 = 12124387747 is a prime.

It is a super-2 number, since 2×121244041312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12124404097 and 12124404106.

It is not an unprimeable number, because it can be changed into a prime (12124404151) 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 39 ways as a sum of consecutive naturals, for example, 5672495 + ... + 5674631.

It is an arithmetic number, because the mean of its divisors is an integer number (377277894).

Almost surely, 212124404131 is an apocalyptic number.

12124404131 is a deficient number, since it is larger than the sum of its proper divisors (2966711629).

12124404131 is an equidigital number, since it uses as much as digits as its factorization.

12124404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12124404131 its reverse (13140442121), we get a palindrome (25264846252).

The spelling of 12124404131 in words is "twelve billion, one hundred twenty-four million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 7 17 49 119 139 343 833 973 2137 2363 2401 5831 6811 14959 16541 36329 40817 47677 104713 115787 254303 297043 333739 732991 810509 1780121 2079301 5049731 5130937 5673563 12460847 14555107 35348117 87225929 101885749 247436819 713200243 1732057733 12124404131