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12122022122112 = 27374509680849
BaseRepresentation
bin1011000001100110000011…
…0100101001001010000000
31120220212001120020011100110
42300121200310221022000
53042101400130401422
641440440255351320
72360534002644450
oct260314064511200
946825046204313
1012122022122112
113953a14516221
1214393b4822540
1369c1427c85c6
142dc9cd6dbd60
151604c56a860c
hexb0660d29280

12122022122112 has 64 divisors (see below), whose sum is σ = 36798995736000. Its totient is φ = 3463434891264.

The previous prime is 12122022122107. The next prime is 12122022122123. The reversal of 12122022122112 is 21122122022121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2254837737 + ... + 2254843112.

It is an arithmetic number, because the mean of its divisors is an integer number (574984308375).

Almost surely, 212122022122112 is an apocalyptic number.

12122022122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122022122112 is an abundant number, since it is smaller than the sum of its proper divisors (24676973613888).

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

12122022122112 is an equidigital number, since it uses as much as digits as its factorization.

12122022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509680873 (or 4509680861 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12122022122112 its reverse (21122122022121), we get a palindrome (33244144144233).

Subtracting 12122022122112 from its reverse (21122122022121), we obtain a palindrome (9000099900009).

The spelling of 12122022122112 in words is "twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4509680849 9019361698 13529042547 18038723396 27058085094 31567765943 36077446792 54116170188 63135531886 72154893584 94703297829 108232340376 126271063772 144309787168 189406595658 216464680752 252542127544 288619574336 378813191316 432929361504 505084255088 577239148672 757626382632 865858723008 1010168510176 1515252765264 1731717446016 2020337020352 3030505530528 4040674040704 6061011061056 12122022122112