Search a number
-
+
12012223320 = 2333519585391
BaseRepresentation
bin10110010111111101…
…11111101101011000
31011000011010011121000
423023332333231120
5144100112121240
65303543345000
7603450133146
oct131376775530
934004104530
1012012223320
115104650199
1223b2a52160
131195854366
1481d4c0596
154a4887430
hex2cbfbfb58

12012223320 has 128 divisors (see below), whose sum is σ = 42148224000. Its totient is φ = 3034661760.

The previous prime is 12012223277. The next prime is 12012223357. The reversal of 12012223320 is 2332221021.

12012223320 is a `hidden beast` number, since 120 + 1 + 2 + 223 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12012223293 and 12012223302.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 272176 + ... + 313215.

It is an arithmetic number, because the mean of its divisors is an integer number (329283000).

Almost surely, 212012223320 is an apocalyptic number.

12012223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012223320 is an abundant number, since it is smaller than the sum of its proper divisors (30136000680).

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

12012223320 is a wasteful number, since it uses less digits than its factorization.

12012223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585430 (or 585420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12012223320 its reverse (2332221021), we get a palindrome (14344444341).

The spelling of 12012223320 in words is "twelve billion, twelve million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 585391 1170782 1756173 2341564 2926955 3512346 4683128 5268519 5853910 7024692 8780865 10537038 11122429 11707820 14049384 15805557 17561730 21074076 22244858 23415640 26342595 31611114 33367287 35123460 42148152 44489716 52685190 55612145 63222228 66734574 70246920 79027785 88979432 100101861 105370380 111224290 126444456 133469148 158055570 166836435 200203722 210740760 222448580 266938296 300305583 316111140 333672870 400407444 444897160 500509305 600611166 632222280 667345740 800814888 1001018610 1201222332 1334691480 1501527915 2002037220 2402444664 3003055830 4004074440 6006111660 12012223320