Search a number
-
+
12120111110121 = 372983490317107
BaseRepresentation
bin1011000001011110111011…
…1010101101011111101001
31120220200010101022200201120
42300113232322231133221
53042033441421010441
641435522512005453
72360435436422100
oct260275672553751
946820111280646
1012120111110121
113953123829673
121438b60830889
1369bbc990a691
142dc88b9a9037
15160412a22966
hexb05eeead7e9

12120111110121 has 48 divisors (see below), whose sum is σ = 18822601534464. Its totient is φ = 6916916746656.

The previous prime is 12120111110119. The next prime is 12120111110167. The reversal of 12120111110121 is 12101111102121.

It is not a de Polignac number, because 12120111110121 - 21 = 12120111110119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12120111110121.

It is not an unprimeable number, because it can be changed into a prime (12120111160121) 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, 708479850 + ... + 708496956.

It is an arithmetic number, because the mean of its divisors is an integer number (392137531968).

Almost surely, 212120111110121 is an apocalyptic number.

It is an amenable number.

12120111110121 is a deficient number, since it is larger than the sum of its proper divisors (6702490424343).

12120111110121 is a wasteful number, since it uses less digits than its factorization.

12120111110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23010 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12120111110121 its reverse (12101111102121), we get a palindrome (24221222212242).

The spelling of 12120111110121 in words is "twelve trillion, one hundred twenty billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 21 49 147 983 2949 4903 6881 14709 17107 20643 34321 48167 51321 102963 119749 144501 240247 359247 720741 838243 2514729 4819649 14458947 16816181 33737543 50448543 83875621 101212629 117713267 236162801 251626863 353139801 587129347 708488403 823992869 1761388041 2471978607 4109905429 12329716287 82449735443 247349206329 577148148101 1731444444303 4040037036707 12120111110121