Search a number
-
+
12002002201201 = 1929157439316037
BaseRepresentation
bin1010111010100110111100…
…0100111110101001110001
31120111101021011120110111111
42232221233010332221301
53033120100030414301
641305351012113321
72346054542312545
oct256515704765161
946441234513444
1012002002201201
113908025395241
12141a09a305841
13690a26457b1c
142d6c8588ba25
1515c2edaba551
hexaea6f13ea71

12002002201201 has 32 divisors (see below), whose sum is σ = 13182577056000. Its totient is φ = 10883430335232.

The previous prime is 12002002201187. The next prime is 12002002201207. The reversal of 12002002201201 is 10210220020021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12002002201201 - 243 = 3205909178993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002002201207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37818555 + ... + 38134591.

It is an arithmetic number, because the mean of its divisors is an integer number (411955533000).

Almost surely, 212002002201201 is an apocalyptic number.

It is an amenable number.

12002002201201 is a deficient number, since it is larger than the sum of its proper divisors (1180574854799).

12002002201201 is a wasteful number, since it uses less digits than its factorization.

12002002201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316681.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002002201201 its reverse (10210220020021), we get a palindrome (22212222221222).

The spelling of 12002002201201 in words is "twelve trillion, two billion, two million, two hundred one thousand, two hundred one".

Divisors: 1 19 29 157 439 551 2983 4553 8341 12731 68923 86507 241889 316037 1309537 1998767 6004703 9165073 37976573 49617809 138740243 174136387 942738371 1438916461 2636064617 4023467047 21782218151 27339412759 76445873893 413862144869 631684326379 12002002201201