Search a number
-
+
12002002122009 = 3191811163322877
BaseRepresentation
bin1010111010100110111100…
…0100101011010100011001
31120111101021011102102212110
42232221233010223110121
53033120100020401014
641305351010302533
72346054541532634
oct256515704532431
946441234372773
1012002002122009
113908025340799
12141a09a287a49
13690a2642aa73
142d6c8586ac1b
1515c2edaa1d59
hexaea6f12b519

12002002122009 has 16 divisors (see below), whose sum is σ = 16937981103680. Its totient is φ = 7538332236480.

The previous prime is 12002002122001. The next prime is 12002002122013. The reversal of 12002002122009 is 90022120020021.

It is a happy number.

It is not a de Polignac number, because 12002002122009 - 23 = 12002002122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002002122001) 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, 581651122 + ... + 581671755.

It is an arithmetic number, because the mean of its divisors is an integer number (1058623818980).

Almost surely, 212002002122009 is an apocalyptic number.

12002002122009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12002002122009 is a deficient number, since it is larger than the sum of its proper divisors (4935978981671).

12002002122009 is a wasteful number, since it uses less digits than its factorization.

12002002122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163323080.

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 12002002122009 in words is "twelve trillion, two billion, two million, one hundred twenty-two thousand, nine".

Divisors: 1 3 19 57 181 543 3439 10317 1163322877 3489968631 22103134663 66309403989 210561440737 631684322211 4000667374003 12002002122009