Search a number
-
+
12035112240 = 2435193078597
BaseRepresentation
bin10110011010101100…
…10011110100110000
31011001202012001021210
423031112103310300
5144121442042430
65310122120120
7604145523534
oct131526236460
934052161253
1012035112240
115116563a58
1223ba650040
13119a5096b8
1482255bbc4
154a68a92b0
hex2cd593d30

12035112240 has 160 divisors (see below), whose sum is σ = 39404977920. Its totient is φ = 3030193152.

The previous prime is 12035112179. The next prime is 12035112241. The reversal of 12035112240 is 4221153021.

12035112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12035112241) 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 31 ways as a sum of consecutive naturals, for example, 1395622 + ... + 1404218.

It is an arithmetic number, because the mean of its divisors is an integer number (246281112).

Almost surely, 212035112240 is an apocalyptic number.

12035112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12035112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702488960).

12035112240 is an abundant number, since it is smaller than the sum of its proper divisors (27369865680).

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

12035112240 is a wasteful number, since it uses less digits than its factorization.

12035112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12035112240 its reverse (4221153021), we get a palindrome (16256265261).

The spelling of 12035112240 in words is "twelve billion, thirty-five million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 307 380 456 570 614 760 912 921 1140 1228 1520 1535 1842 2280 2456 3070 3684 4560 4605 4912 5833 6140 7368 8597 9210 11666 12280 14736 17194 17499 18420 23332 24560 25791 29165 34388 34998 36840 42985 46664 51582 58330 68776 69996 73680 85970 87495 93328 103164 116660 128955 137552 139992 163343 171940 174990 206328 233320 257910 279984 326686 343880 349980 412656 466640 490029 515820 653372 687760 699960 816715 980058 1031640 1306744 1399920 1633430 1960116 2063280 2450145 2613488 2639279 3266860 3920232 4900290 5278558 6533720 7840464 7917837 9800580 10557116 13067440 13196395 15835674 19601160 21114232 26392790 31671348 39202320 39589185 42228464 50146301 52785580 63342696 79178370 100292602 105571160 126685392 150438903 158356740 200585204 211142320 250731505 300877806 316713480 401170408 501463010 601755612 633426960 752194515 802340816 1002926020 1203511224 1504389030 2005852040 2407022448 3008778060 4011704080 6017556120 12035112240