Search a number
-
+
12343211120 = 2451391517351
BaseRepresentation
bin10110111111011011…
…00111010001110000
31011212012221002111102
423133231213101300
5200234330223440
65400445503532
7614606364152
oct133755472160
934765832442
1012343211120
11526446a229
122485871ba8
1312192b1926
1485143cad2
154c3967b15
hex2dfb67470

12343211120 has 80 divisors (see below), whose sum is σ = 29099804160. Its totient is φ = 4868640000.

The previous prime is 12343211117. The next prime is 12343211123. The reversal of 12343211120 is 2111234321.

It is an interprime number because it is at equal distance from previous prime (12343211117) and next prime (12343211123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12343211092 and 12343211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343211123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1675445 + ... + 1682795.

It is an arithmetic number, because the mean of its divisors is an integer number (363747552).

Almost surely, 212343211120 is an apocalyptic number.

12343211120 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 12343211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549902080).

12343211120 is an abundant number, since it is smaller than the sum of its proper divisors (16756593040).

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

12343211120 is a wasteful number, since it uses less digits than its factorization.

12343211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12343211120 its reverse (2111234321), we get a palindrome (14454445441).

The spelling of 12343211120 in words is "twelve billion, three hundred forty-three million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 151 278 302 556 604 695 755 1112 1208 1390 1510 2224 2416 2780 3020 5560 6040 7351 11120 12080 14702 20989 29404 36755 41978 58808 73510 83956 104945 117616 147020 167912 209890 294040 335824 419780 588080 839560 1021789 1110001 1679120 2043578 2220002 4087156 4440004 5108945 5550005 8174312 8880008 10217890 11100010 16348624 17760016 20435780 22200020 40871560 44400040 81743120 88800080 154290139 308580278 617160556 771450695 1234321112 1542901390 2468642224 3085802780 6171605560 12343211120