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12110434220 = 2252929371263
BaseRepresentation
bin10110100011101011…
…01000111110101100
31011020222220210121202
423101311220332230
5144300232343340
65321412345032
7606051664253
oct132165507654
934228823552
1012110434220
11515502a525
12241b915178
1311accbc711
1482c56779a
154ad2d6c15
hex2d1d68fac

12110434220 has 48 divisors (see below), whose sum is σ = 26399036160. Its totient is φ = 4661104896.

The previous prime is 12110434169. The next prime is 12110434229. The reversal of 12110434220 is 2243401121.

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 = 12110434192 and 12110434201.

It is not an unprimeable number, because it can be changed into a prime (12110434229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134309 + ... + 205571.

It is an arithmetic number, because the mean of its divisors is an integer number (549979920).

Almost surely, 212110434220 is an apocalyptic number.

12110434220 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 12110434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199518080).

12110434220 is an abundant number, since it is smaller than the sum of its proper divisors (14288601940).

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

12110434220 is a wasteful number, since it uses less digits than its factorization.

12110434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71594 (or 71592 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12110434220 its reverse (2243401121), we get a palindrome (14353835341).

The spelling of 12110434220 in words is "twelve billion, one hundred ten million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 293 580 586 1172 1465 2930 5860 8497 16994 33988 42485 71263 84970 142526 169940 285052 356315 712630 1425260 2066627 4133254 8266508 10333135 20666270 20880059 41332540 41760118 83520236 104400295 208800590 417601180 605521711 1211043422 2422086844 3027608555 6055217110 12110434220