| Base | Representation |
|---|---|
| bin | 1011000110110001111011… |
| … | …1000011001001010000000 |
| 3 | 1121020101000021000110200000 |
| 4 | 2301230132320121022000 |
| 5 | 3100031323142401422 |
| 6 | 41545412340400000 |
| 7 | 2400136456313046 |
| oct | 261543670311200 |
| 9 | 47211007013600 |
| 10 | 12211110122112 |
| 11 | 3988780359200 |
| 12 | 14527180a6000 |
| 13 | 6a766c6b21c5 |
| 14 | 303041438396 |
| 15 | 16298b937cac |
| hex | b1b1ee19280 |
12211110122112 has 288 divisors, whose sum is σ = 40054090352640. Its totient is φ = 3700335260160.
The previous prime is 12211110122111. The next prime is 12211110122213. The reversal of 12211110122112 is 21122101111221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×122111101221122 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12211110122111) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 2141313 + ... + 5385855.
Almost surely, 212211110122112 is an apocalyptic number.
12211110122112 is a gapful number since it is divisible by the number (12) 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 12211110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027045176320).
12211110122112 is an abundant number, since it is smaller than the sum of its proper divisors (27842980230528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12211110122112 is an equidigital number, since it uses as much as digits as its factorization.
12211110122112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3244594 (or 3244559 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 12211110122112 its reverse (21122101111221), we get a palindrome (33333211233333).
The spelling of 12211110122112 in words is "twelve trillion, two hundred eleven billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".
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