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12110111210120 = 2357112588160779
BaseRepresentation
bin1011000000111001101011…
…1000000111101010001000
31120212201022110202010202212
42300032122320013222020
53041403001432210440
641431150331244252
72356632562604510
oct260163270075210
946781273663685
1012110111210120
113949962082800
12143702b8a9688
1369ac94c568a1
142dc1bd870840
15160029b84465
hexb039ae07a88

12110111210120 has 192 divisors, whose sum is σ = 34234962249600. Its totient is φ = 3773876198400.

The previous prime is 12110111210117. The next prime is 12110111210159. The reversal of 12110111210120 is 2101211101121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12110111210095 and 12110111210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199217891 + ... + 199278669.

It is an arithmetic number, because the mean of its divisors is an integer number (178307095050).

Almost surely, 212110111210120 is an apocalyptic number.

12110111210120 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 12110111210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117481124800).

12110111210120 is an abundant number, since it is smaller than the sum of its proper divisors (22124851039480).

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

12110111210120 is a wasteful number, since it uses less digits than its factorization.

12110111210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66700 (or 66685 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12110111210120 its reverse (2101211101121), we get a palindrome (14211322311241).

The spelling of 12110111210120 in words is "twelve trillion, one hundred ten billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".