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12022023310112 = 253122111852771
BaseRepresentation
bin1010111011110001100001…
…1011011100101100100000
31120120021221110211011201202
42232330120123130230200
53033432100431410422
641322501414020332
72350363642034504
oct256743033345440
946507843734652
1012022023310112
113915569821742
121421b473476a8
1369289731382a
142d7c248aa304
1515cac1605b92
hexaef186dcb20

12022023310112 has 72 divisors (see below), whose sum is σ = 24572403472176. Its totient is φ = 5789535696000.

The previous prime is 12022023310097. The next prime is 12022023310123. The reversal of 12022023310112 is 21101332022021.

12022023310112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5562287 + ... + 7415057.

It is an arithmetic number, because the mean of its divisors is an integer number (341283381558).

Almost surely, 212022023310112 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 12022023310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286201736088).

12022023310112 is an abundant number, since it is smaller than the sum of its proper divisors (12550380162064).

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

12022023310112 is a wasteful number, since it uses less digits than its factorization.

12022023310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853054 (or 1853015 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12022023310112 its reverse (21101332022021), we get a palindrome (33123355332133).

The spelling of 12022023310112 in words is "twelve trillion, twenty-two billion, twenty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 211 248 422 496 844 961 992 1688 1922 3376 3844 6541 6752 7688 13082 15376 26164 30752 52328 104656 202771 209312 405542 811084 1622168 1852771 3244336 3705542 6488672 7411084 14822168 29644336 57435901 59288672 114871802 229743604 390934681 459487208 781869362 918974416 1563738724 1780512931 1837948832 3127477448 3561025862 6254954896 7122051724 12118975111 12509909792 14244103448 24237950222 28488206896 48475900444 56976413792 96951800888 193903601776 375688228441 387807203552 751376456882 1502752913764 3005505827528 6011011655056 12022023310112