Search a number
-
+
12332210122001 = 711257623185109
BaseRepresentation
bin1011001101110101000100…
…0000001110110100010001
31121122221120221000212100002
42303131101000032310101
53104022331242401001
642121201125535345
72411654443321160
oct263352100166421
947587527025302
1012332210122001
113a25074128540
121472094274555
136b5bcb74a183
14308c4c8bd3d7
15165bc827446b
hexb375100ed11

12332210122001 has 16 divisors (see below), whose sum is σ = 15435048804480. Its totient is φ = 9572123258880.

The previous prime is 12332210121983. The next prime is 12332210122039. The reversal of 12332210122001 is 10022101223321.

It is not a de Polignac number, because 12332210122001 - 210 = 12332210120977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12332210122051) 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 15 ways as a sum of consecutive naturals, for example, 311572766 + ... + 311612343.

It is an arithmetic number, because the mean of its divisors is an integer number (964690550280).

Almost surely, 212332210122001 is an apocalyptic number.

12332210122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12332210122001 is a deficient number, since it is larger than the sum of its proper divisors (3102838682479).

12332210122001 is a wasteful number, since it uses less digits than its factorization.

12332210122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623185384.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12332210122001 its reverse (10022101223321), we get a palindrome (22354311345322).

The spelling of 12332210122001 in words is "twelve trillion, three hundred thirty-two billion, two hundred ten million, one hundred twenty-two thousand, one".

Divisors: 1 7 11 77 257 1799 2827 19789 623185109 4362295763 6855036199 47985253393 160158573013 1121110011091 1761744303143 12332210122001