Search a number
-
+
12120221100 = 22352133107749
BaseRepresentation
bin10110100100110101…
…11110010110101100
31011021200100000200210
423102122332112230
5144310234033400
65322402222420
7606231115401
oct132232762654
934250300623
1012120221100
11515a604559
122423054a10
1311b2038280
1482d9942a8
154ae0bb950
hex2d26be5ac

12120221100 has 72 divisors (see below), whose sum is σ = 37765378000. Its totient is φ = 2983438080.

The previous prime is 12120221039. The next prime is 12120221117. The reversal of 12120221100 is 112202121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549975 + ... + 1557774.

Almost surely, 212120221100 is an apocalyptic number.

12120221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120221100 is an abundant number, since it is smaller than the sum of its proper divisors (25645156900).

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

12120221100 is a wasteful number, since it uses less digits than its factorization.

12120221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107779 (or 3107772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120221100 its reverse (112202121), we get a palindrome (12232423221).

The spelling of 12120221100 in words is "twelve billion, one hundred twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 3107749 6215498 9323247 12430996 15538745 18646494 31077490 37292988 40400737 46616235 62154980 77693725 80801474 93232470 121202211 155387450 161602948 186464940 202003685 233081175 242404422 310774900 404007370 466162350 484808844 606011055 808014740 932324700 1010018425 1212022110 2020036850 2424044220 3030055275 4040073700 6060110550 12120221100