| Base | Representation |
|---|---|
| bin | 110100010011011011… |
| … | …1000010110000100000 |
| 3 | 101201220211222201222200 |
| 4 | 1220212313002300200 |
| 5 | 3320013201104440 |
| 6 | 123333303133200 |
| 7 | 11054264465046 |
| oct | 1504667026040 |
| 9 | 351824881880 |
| 10 | 112321113120 |
| 11 | 436a9381817 |
| 12 | 19928144200 |
| 13 | a790355018 |
| 14 | 561758a396 |
| 15 | 2dc5c89c30 |
| hex | 1a26dc2c20 |
112321113120 has 288 divisors, whose sum is σ = 400338469440. Its totient is φ = 28648028160.
The previous prime is 112321113119. The next prime is 112321113187. The reversal of 112321113120 is 21311123211.
112321113120 is a `hidden beast` number, since 11 + 232 + 111 + 312 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1123211131202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 112321113093 and 112321113102.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125655 + ... + 3161385.
It is an arithmetic number, because the mean of its divisors is an integer number (1390064130).
Almost surely, 2112321113120 is an apocalyptic number.
112321113120 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 112321113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200169234720).
112321113120 is an abundant number, since it is smaller than the sum of its proper divisors (288017356320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112321113120 is a wasteful number, since it uses less digits than its factorization.
112321113120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35848 (or 35837 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 112321113120 its reverse (21311123211), we get a palindrome (133632236331).
The spelling of 112321113120 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred thirteen thousand, one hundred twenty".
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