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112011101212120 = 235112632077146601
BaseRepresentation
bin11001011101111110011101…
…111001100000110111011000
3112200121011020020021122020121
4121131332131321200313120
5104140142213402241440
61034121104534203024
732410351336001545
oct3135763571406730
9480534206248217
10112011101212120
1132765706568a50
12106906031b3474
134a667a87095a6
141d9351acc9bcc
15ce39ec0c334a
hex65df9de60dd8

112011101212120 has 128 divisors (see below), whose sum is σ = 276000934049280. Its totient is φ = 40573613440000.

The previous prime is 112011101212099. The next prime is 112011101212207. The reversal of 112011101212120 is 21212101110211.

112011101212120 is digitally balanced in base 3, 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 = 112011101212094 and 112011101212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403596820 + ... + 2403643420.

It is an arithmetic number, because the mean of its divisors is an integer number (2156257297260).

Almost surely, 2112011101212120 is an apocalyptic number.

112011101212120 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 112011101212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138000467024640).

112011101212120 is an abundant number, since it is smaller than the sum of its proper divisors (163989832837160).

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

112011101212120 is a wasteful number, since it uses less digits than its factorization.

112011101212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67657 (or 67653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112011101212120 its reverse (21212101110211), we get a palindrome (133223202322331).

The spelling of 112011101212120 in words is "one hundred twelve trillion, eleven billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 263 440 526 1052 1315 2104 2630 2893 5260 5786 10520 11572 14465 20771 23144 28930 41542 46601 57860 83084 93202 103855 115720 166168 186404 207710 228481 233005 372808 415420 456962 466010 512611 830840 913924 932020 1025222 1142405 1827848 1864040 2050444 2284810 2563055 4100888 4569620 5126110 5462773 9139240 10252220 10925546 12256063 20504440 21851092 24512126 27313865 43702184 49024252 54627730 60090503 61280315 98048504 109255460 120181006 122560630 134816693 218510920 240362012 245121260 269633386 300452515 480724024 490242520 539266772 600905030 674083465 967949371 1078533544 1201810060 1348166930 1935898742 2403620120 2696333860 3871797484 4839746855 5392667720 7743594968 9679493710 10647443081 19358987420 21294886162 38717974840 42589772324 53237215405 85179544648 106474430810 212948861620 254570684573 425897723240 509141369146 1018282738292 1272853422865 2036565476584 2545706845730 2800277530303 5091413691460 5600555060606 10182827382920 11201110121212 14001387651515 22402220242424 28002775303030 56005550606060 112011101212120