Search a number
-
+
12041041212011 = 7217234713371907
BaseRepresentation
bin1010111100111000010111…
…1110111111001001101011
31120122010000212100200122202
42233032011332333021223
53034240023022241021
641335324501410415
72351636140400600
oct257160576771153
946563025320582
1012041041212011
113922638944939
121425774409a0b
136946083ab716
142d8b0a5846a7
1515d336029a0b
hexaf385fbf26b

12041041212011 has 48 divisors (see below), whose sum is σ = 15804953404416. Its totient is φ = 9093751881984.

The previous prime is 12041041211993. The next prime is 12041041212073. The reversal of 12041041212011 is 11021214014021.

It is not a de Polignac number, because 12041041212011 - 242 = 7642994700907 is a prime.

It is a super-3 number, since 3×120410412120113 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12041041212311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5785481 + ... + 7586426.

It is an arithmetic number, because the mean of its divisors is an integer number (329269862592).

Almost surely, 212041041212011 is an apocalyptic number.

12041041212011 is a deficient number, since it is larger than the sum of its proper divisors (3763912192405).

12041041212011 is a wasteful number, since it uses less digits than its factorization.

12041041212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13372008 (or 13372001 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12041041212011 its reverse (11021214014021), we get a palindrome (23062255226032).

The spelling of 12041041212011 in words is "twelve trillion, forty-one billion, forty-one million, two hundred twelve thousand, eleven".

Divisors: 1 7 17 23 47 49 119 161 329 391 799 833 1081 1127 2303 2737 5593 7567 18377 19159 39151 52969 128639 900473 13371907 93603349 227322419 307553861 628479629 655223443 1591256933 2152877027 4399357403 5228415637 10684153693 11138798531 14455031467 15070139189 30795501821 36598909459 74789075851 101185220269 245735534939 256192366213 523523530957 708296541883 1720148744573 12041041212011