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12022200564 = 22311419722901
BaseRepresentation
bin10110011001001010…
…00011100011110100
31011000211220001210120
423030211003203310
5144110140404224
65304541251540
7603631006263
oct131445034364
934024801716
1012022200564
11510a245250
1223b6263bb0
13119793875a
1482095a5da
154a56a8779
hex2cc9438f4

12022200564 has 96 divisors (see below), whose sum is σ = 31672916352. Its totient is φ = 3517440000.

The previous prime is 12022200563. The next prime is 12022200571. The reversal of 12022200564 is 46500222021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022200563) 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, 513514 + ... + 536414.

It is an arithmetic number, because the mean of its divisors is an integer number (329926212).

Almost surely, 212022200564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022200564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836458176).

12022200564 is an abundant number, since it is smaller than the sum of its proper divisors (19650715788).

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

12022200564 is a wasteful number, since it uses less digits than its factorization.

12022200564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23057 (or 23055 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12022200564 its reverse (46500222021), we get a palindrome (58522422585).

The spelling of 12022200564 in words is "twelve billion, twenty-two million, two hundred thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 97 123 132 164 194 246 291 388 451 492 582 902 1067 1164 1353 1804 2134 2706 3201 3977 4268 5412 6402 7954 11931 12804 15908 22901 23862 43747 45802 47724 68703 87494 91604 131241 137406 174988 251911 262482 274812 503822 524964 755733 938941 1007644 1511466 1877882 2221397 2816823 3022932 3755764 4442794 5633646 6664191 8885588 10328351 11267292 13328382 20656702 24435367 26656764 30985053 41313404 48870734 61970106 73306101 91077277 97741468 123940212 146612202 182154554 273231831 293224404 364309108 546463662 1001850047 1092927324 2003700094 3005550141 4007400188 6011100282 12022200564