Search a number
-
+
12101212220 = 22529434671039
BaseRepresentation
bin10110100010100100…
…11101100000111100
31011020100120021102012
423101102131200330
5144240402242340
65320442550352
7605610415046
oct132122354074
934210507365
1012101212220
11514a900939
1224188083b8
1311ab111006
1482b246a96
154ac5b4565
hex2d149d83c

12101212220 has 96 divisors (see below), whose sum is σ = 26983756800. Its totient is φ = 4550724864.

The previous prime is 12101212219. The next prime is 12101212223. The reversal of 12101212220 is 2221210121.

It is a junction number, because it is equal to n+sod(n) for n = 12101212195 and 12101212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101212223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11646461 + ... + 11647499.

It is an arithmetic number, because the mean of its divisors is an integer number (281080800).

Almost surely, 212101212220 is an apocalyptic number.

12101212220 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 12101212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491878400).

12101212220 is an abundant number, since it is smaller than the sum of its proper divisors (14882544580).

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

12101212220 is a wasteful number, since it uses less digits than its factorization.

12101212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12101212220 its reverse (2221210121), we get a palindrome (14322422341).

The spelling of 12101212220 in words is "twelve billion, one hundred one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 467 580 860 934 1039 1247 1868 2078 2335 2494 4156 4670 4988 5195 6235 9340 10390 12470 13543 20081 20780 24940 27086 30131 40162 44677 54172 60262 67715 80324 89354 100405 120524 135430 150655 178708 200810 223385 270860 301310 401620 446770 485213 582349 602620 893540 970426 1164698 1295633 1940852 2329396 2426065 2591266 2911745 4852130 5182532 5823490 6478165 9704260 11646980 12956330 14071177 20864159 25912660 28142354 41728318 56284708 70355885 83456636 104320795 140711770 208641590 281423540 417283180 605060611 1210121222 2420242444 3025303055 6050606110 12101212220