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12111022220 = 2251110325189
BaseRepresentation
bin10110100011101111…
…11000100010001100
31011021001000200012112
423101313320202030
5144300410202340
65321433123152
7606056663453
oct132167704214
934231020175
1012111022220
1151553a1280
12241bb594b8
1311b016724b
1482c67bb9a
154ad3a1065
hex2d1df888c

12111022220 has 72 divisors (see below), whose sum is σ = 28022636880. Its totient is φ = 4360410240.

The previous prime is 12111022213. The next prime is 12111022223. The reversal of 12111022220 is 2222011121.

12111022220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12111022195 and 12111022204.

It is not an unprimeable number, because it can be changed into a prime (12111022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331386 + ... + 2336574.

It is an arithmetic number, because the mean of its divisors is an integer number (389203290).

Almost surely, 212111022220 is an apocalyptic number.

12111022220 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 12111022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011318440).

12111022220 is an abundant number, since it is smaller than the sum of its proper divisors (15911614660).

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

12111022220 is a wasteful number, since it uses less digits than its factorization.

12111022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5310 counting only the distinct ones).

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

Adding to 12111022220 its reverse (2222011121), we get a palindrome (14333033341).

The spelling of 12111022220 in words is "twelve billion, one hundred eleven million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5189 5665 10378 10609 11330 20756 21218 22660 25945 42436 51890 53045 57079 103780 106090 114158 116699 212180 228316 233398 285395 466796 534467 570790 583495 1068934 1141580 1166990 2137868 2333980 2672335 5344670 5879137 10689340 11758274 23516548 29395685 55050101 58791370 110100202 117582740 220200404 275250505 550501010 605551111 1101002020 1211102222 2422204444 3027755555 6055511110 12111022220