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12001113320001 = 3131759833696391
BaseRepresentation
bin1010111010100011101000…
…0110001010101001000001
31120111021222012222121201120
42232220322012022221001
53033111240002220001
641305122500222453
72346023530043301
oct256507206125101
946437865877646
1012001113320001
113907709667683
121419a9069aa29
13690914255310
142d6bdd7c7601
1515c29aa38236
hexaea3a18aa41

12001113320001 has 64 divisors (see below), whose sum is σ = 18778854205440. Its totient is φ = 6750731842560.

The previous prime is 12001113319919. The next prime is 12001113320029. The reversal of 12001113320001 is 10002331110021.

It is a happy number.

It is not a de Polignac number, because 12001113320001 - 214 = 12001113303617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12001113320051) 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 63 ways as a sum of consecutive naturals, for example, 1398516 + ... + 5094906.

It is an arithmetic number, because the mean of its divisors is an integer number (293419596960).

Almost surely, 212001113320001 is an apocalyptic number.

It is an amenable number.

12001113320001 is a deficient number, since it is larger than the sum of its proper divisors (6777740885439).

12001113320001 is a wasteful number, since it uses less digits than its factorization.

12001113320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696566.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12001113320001 its reverse (10002331110021), we get a palindrome (22003444430022).

The spelling of 12001113320001 in words is "twelve trillion, one billion, one hundred thirteen million, three hundred twenty thousand, one".

Divisors: 1 3 13 17 39 51 59 83 177 221 249 663 767 1003 1079 1411 2301 3009 3237 4233 4897 13039 14691 18343 39117 55029 63661 83249 190983 249747 1082237 3246711 3696391 11089173 48053083 62838647 144159249 188515941 218087069 306800453 654261207 816902411 920401359 2450707233 2835131897 3707480173 3988405889 5215607701 8505395691 11122440519 11965217667 15646823103 18101226727 48197242249 54303680181 67802900113 144591726747 203408700339 235315947451 307720854359 705947842353 923162563077 4000371106667 12001113320001