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12320424424441 = 75345617281011
BaseRepresentation
bin1011001101001001001010…
…0001010111001111111001
31121121211011120011101200001
42303102102201113033321
53103324212123040231
642111531433313001
72411056413460660
oct263222241271771
947554146141601
1012320424424441
113a20076438521
12146b945265761
136b4a70b09933
14308451527dd7
15165738735b61
hexb34928573f9

12320424424441 has 16 divisors (see below), whose sum is σ = 14349301953408. Its totient is φ = 10358838547200.

The previous prime is 12320424424423. The next prime is 12320424424493. The reversal of 12320424424441 is 14442442402321.

It is a cyclic number.

It is not a de Polignac number, because 12320424424441 - 213 = 12320424416249 is a prime.

It is a super-2 number, since 2×123204244244412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12320424424441.

It is not an unprimeable number, because it can be changed into a prime (12320422424441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1948375 + ... + 5332636.

It is an arithmetic number, because the mean of its divisors is an integer number (896831372088).

Almost surely, 212320424424441 is an apocalyptic number.

It is an amenable number.

12320424424441 is a deficient number, since it is larger than the sum of its proper divisors (2028877528967).

12320424424441 is an equidigital number, since it uses as much as digits as its factorization.

12320424424441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285632.

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 12320424424441 its reverse (14442442402321), we get a palindrome (26762866826762).

The spelling of 12320424424441 in words is "twelve trillion, three hundred twenty billion, four hundred twenty-four million, four hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 7 53 371 4561 31927 241733 1692131 7281011 50967077 385893583 2701255081 33208691171 232460838197 1760060632063 12320424424441