Search a number
-
+
12223212120 = 2333571616827
BaseRepresentation
bin10110110001000111…
…10110101001011000
31011112212010111211000
423120203312221120
5200013120241440
65340521505000
7611621405640
oct133043665130
934485114730
1012223212120
1152027591a9
122451642160
1311ca4882c2
1483d523520
154b8162730
hex2d88f6a58

12223212120 has 128 divisors (see below), whose sum is σ = 46564646400. Its totient is φ = 2793875328.

The previous prime is 12223212103. The next prime is 12223212167. The reversal of 12223212120 is 2121232221.

12223212120 is a `hidden beast` number, since 1 + 222 + 321 + 2 + 120 = 666.

12223212120 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 a junction number, because it is equal to n+sod(n) for n = 12223212093 and 12223212102.

It is a congruent number.

It is an unprimeable number.

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, 800854 + ... + 815973.

It is an arithmetic number, because the mean of its divisors is an integer number (363786300).

Almost surely, 212223212120 is an apocalyptic number.

12223212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223212120 is an abundant number, since it is smaller than the sum of its proper divisors (34341434280).

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

12223212120 is a wasteful number, since it uses less digits than its factorization.

12223212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616854 (or 1616844 counting only the distinct ones).

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

Adding to 12223212120 its reverse (2121232221), we get a palindrome (14344444341).

The spelling of 12223212120 in words is "twelve billion, two hundred twenty-three million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 1616827 3233654 4850481 6467308 8084135 9700962 11317789 12934616 14551443 16168270 19401924 22635578 24252405 29102886 32336540 33953367 38803848 43654329 45271156 48504810 56588945 58205772 64673080 67906734 72757215 87308658 90542312 97009620 101860101 113177890 116411544 135813468 145514430 169766835 174617316 194019240 203720202 218271645 226355780 271626936 291028860 305580303 339533670 349234632 407440404 436543290 452711560 509300505 582057720 611160606 679067340 814880808 873086580 1018601010 1222321212 1358134680 1527901515 1746173160 2037202020 2444642424 3055803030 4074404040 6111606060 12223212120