Search a number
-
+
12111210020 = 22571322929059
BaseRepresentation
bin10110100011110001…
…00110011000100100
31011021001101012211002
423101320212120210
5144300432210040
65321441132432
7606061405130
oct132170463044
934231335732
1012111210020
11515550a388
12242002a118
1311b0201880
1482c6ca3c0
154ad3dba15
hex2d1e26624

12111210020 has 96 divisors (see below), whose sum is σ = 31440595200. Its totient is φ = 3816129024.

The previous prime is 12111210017. The next prime is 12111210029. The reversal of 12111210020 is 2001211121.

It is a junction number, because it is equal to n+sod(n) for n = 12111209983 and 12111210010.

It is not an unprimeable number, because it can be changed into a prime (12111210029) 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, 402251 + ... + 431309.

It is an arithmetic number, because the mean of its divisors is an integer number (327506200).

Almost surely, 212111210020 is an apocalyptic number.

12111210020 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 12111210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720297600).

12111210020 is an abundant number, since it is smaller than the sum of its proper divisors (19329385180).

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

12111210020 is a wasteful number, since it uses less digits than its factorization.

12111210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29317 (or 29315 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12111210020 its reverse (2001211121), we get a palindrome (14112421141).

The spelling of 12111210020 in words is "twelve billion, one hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 229 260 364 455 458 910 916 1145 1603 1820 2290 2977 3206 4580 5954 6412 8015 11908 14885 16030 20839 29059 29770 32060 41678 58118 59540 83356 104195 116236 145295 203413 208390 290590 377767 406826 416780 581180 755534 813652 1017065 1511068 1888835 2034130 2644369 3777670 4068260 5288738 6654511 7555340 10577476 13221845 13309022 26443690 26618044 33272555 46581577 52887380 66545110 86508643 93163154 133090220 173017286 186326308 232907885 346034572 432543215 465815770 605560501 865086430 931631540 1211121002 1730172860 2422242004 3027802505 6055605010 12111210020