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12405124040001 = 371129715027791
BaseRepresentation
bin1011010010000100101100…
…0000110000010101000001
31121220220210102102200020120
42310201023000300111001
53111221143223240001
642214500232130453
72420145352356450
oct264411300602501
947826712380216
1012405124040001
113a52a90135300
121484242b36a29
136bca4b799554
1430c5a84d0b97
15167a445c3236
hexb484b030541

12405124040001 has 48 divisors (see below), whose sum is σ = 20799130834944. Its totient is φ = 6437582316000.

The previous prime is 12405124039907. The next prime is 12405124040017. The reversal of 12405124040001 is 10004042150421.

It is not a de Polignac number, because 12405124040001 - 218 = 12405123777857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12405124040021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46585 + ... + 4981206.

It is an arithmetic number, because the mean of its divisors is an integer number (433315225728).

Almost surely, 212405124040001 is an apocalyptic number.

12405124040001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12405124040001 is a deficient number, since it is larger than the sum of its proper divisors (8394006794943).

12405124040001 is a wasteful number, since it uses less digits than its factorization.

12405124040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028794 (or 5028783 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12405124040001 its reverse (10004042150421), we get a palindrome (22409166190422).

The spelling of 12405124040001 in words is "twelve trillion, four hundred five billion, one hundred twenty-four million, forty thousand, one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 971 2541 2913 6797 10681 20391 32043 74767 117491 224301 352473 822437 2467311 5027791 15083373 35194537 55305701 105583611 165917103 387139907 608362711 1161419721 1825088133 4258538977 4881985061 12775616931 14645955183 34173895427 53701835671 102521686281 161105507013 375912849697 590720192381 1127738549091 1772160577143 4135041346667 12405124040001