Search a number
-
+
12000021110001 = 32617110910632657
BaseRepresentation
bin1010111010011111100011…
…1111101101110011110001
31120111012011002210121021100
42232213320333231303301
53033102020401010001
641304422242315013
72345654465313501
oct256477077556361
946435132717240
1012000021110001
1139071a9093091
121419826958a69
1369079bba1302
142d6b38715a01
1515c234be0586
hexae9f8fedcf1

12000021110001 has 96 divisors (see below), whose sum is σ = 18053309514240. Its totient is φ = 7676740915200.

The previous prime is 12000021109963. The next prime is 12000021110017. The reversal of 12000021110001 is 10001112000021.

It is a happy number.

It is not a de Polignac number, because 12000021110001 - 214 = 12000021093617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12000021110071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4516378465 + ... + 4516381121.

It is an arithmetic number, because the mean of its divisors is an integer number (188055307440).

Almost surely, 212000021110001 is an apocalyptic number.

It is an amenable number.

12000021110001 is a deficient number, since it is larger than the sum of its proper divisors (6053288404239).

12000021110001 is a wasteful number, since it uses less digits than its factorization.

12000021110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000021110001 its reverse (10001112000021), we get a palindrome (22001133110022).

The spelling of 12000021110001 in words is "twelve trillion, twenty-one million, one hundred ten thousand, one".

Divisors: 1 3 9 61 71 109 183 213 327 549 639 981 1063 2657 3189 4331 6649 7739 7971 9567 12993 19947 23217 23913 38979 59841 64843 69651 75473 115867 162077 188647 194529 226419 289613 347601 472079 486231 565941 583587 679257 868839 1042803 1416237 1458693 1697823 2606517 2824391 4248711 4603853 7067887 8226557 8473173 11507467 13811559 17666393 20562523 21203661 24679671 25419519 34522401 41434677 52999179 61687569 63610983 74039013 103567203 158997537 172287851 185062707 200531761 307858619 501819977 516863553 601595283 923575857 1254313903 1505459931 1550590659 1804785849 2770727571 3762941709 4516379793 11288825127 12232437421 18779375759 21857961949 36697312263 56338127277 65573885847 110091936789 169014381831 196721657541 1333335678889 4000007036667 12000021110001