Search a number
-
+
12012002064 = 2432471774823
BaseRepresentation
bin10110010111111100…
…01001101100010000
31011000010200221002100
423023332021230100
5144100033031224
65303534520400
7603445222116
oct131376115420
934003627070
1012012002064
115104509a37
1223b2966100
1311957a773a
1481d463ab6
154a4841ac9
hex2cbf89b10

12012002064 has 60 divisors (see below), whose sum is σ = 34332195456. Its totient is φ = 3918806976.

The previous prime is 12012002063. The next prime is 12012002083. The reversal of 12012002064 is 46020021021.

12012002064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12012002063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880644 + ... + 894179.

Almost surely, 212012002064 is an apocalyptic number.

It is an amenable number.

12012002064 is an abundant number, since it is smaller than the sum of its proper divisors (22320193392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12012002064 is a wasteful number, since it uses less digits than its factorization.

12012002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774884 (or 1774875 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12012002064 its reverse (46020021021), we get a palindrome (58032023085).

The spelling of 12012002064 in words is "twelve billion, twelve million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 1774823 3549646 5324469 7099292 10648938 14198584 15973407 21297876 28397168 31946814 42595752 63893628 83416681 85191504 127787256 166833362 250250043 255574512 333666724 500500086 667333448 750750129 1001000172 1334666896 1501500258 2002000344 3003000516 4004000688 6006001032 12012002064