Search a number
-
+
12320120140 = 22537127337389
BaseRepresentation
bin10110111100101011…
…00001110101001100
31011210121110221121221
423132111201311030
5200212422321030
65354302533124
7614206202416
oct133625416514
934717427557
1012320120140
115252428679
122479b971a4
131214588623
1484c34b9b6
154c1905e7a
hex2de561d4c

12320120140 has 96 divisors (see below), whose sum is σ = 26929244160. Its totient is φ = 4730793984.

The previous prime is 12320120129. The next prime is 12320120159. The reversal of 12320120140 is 4102102321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31671066 + ... + 31671454.

It is an arithmetic number, because the mean of its divisors is an integer number (280512960).

Almost surely, 212320120140 is an apocalyptic number.

12320120140 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 12320120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464622080).

12320120140 is an abundant number, since it is smaller than the sum of its proper divisors (14609124020).

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

12320120140 is a wasteful number, since it uses less digits than its factorization.

12320120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12320120140 its reverse (4102102321), we get a palindrome (16422222461).

It can be divided in two parts, 123201 and 20140, that added together give a palindrome (143341).

The spelling of 12320120140 in words is "twelve billion, three hundred twenty million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 127 148 185 254 337 370 389 508 635 674 740 778 1270 1348 1556 1685 1945 2540 3370 3890 4699 6740 7780 9398 12469 14393 18796 23495 24938 28786 42799 46990 49403 49876 57572 62345 71965 85598 93980 98806 124690 131093 143930 171196 197612 213995 247015 249380 262186 287860 427990 494030 524372 655465 855980 988060 1310930 1583563 1827911 2621860 3167126 3655822 4850441 6334252 7311644 7917815 9139555 9700882 15835630 16648811 18279110 19401764 24252205 31671260 33297622 36558220 48504410 66595244 83244055 97008820 166488110 332976220 616006007 1232012014 2464024028 3080030035 6160060070 12320120140