Base | Representation |
---|---|
bin | 111000110111011101… |
… | …0111000000010000000 |
3 | 102200012202100101002212 |
4 | 1301232322320002000 |
5 | 4000100210340104 |
6 | 132033503401252 |
7 | 11552150655062 |
oct | 1615672700200 |
9 | 380182311085 |
10 | 122120011904 |
11 | 47877621480 |
12 | 1b8018b3228 |
13 | b692490b97 |
14 | 5ca6b21732 |
15 | 329b17236e |
hex | 1c6eeb8080 |
122120011904 has 128 divisors (see below), whose sum is σ = 286319940480. Its totient is φ = 51257589760.
The previous prime is 122120011903. The next prime is 122120012029. The reversal of 122120011904 is 409110021221.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 122120011904.
It is not an unprimeable number, because it can be changed into a prime (122120011903) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220477 + ... + 1316739.
It is an arithmetic number, because the mean of its divisors is an integer number (2236874535).
Almost surely, 2122120011904 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122120011904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143159970240).
122120011904 is an abundant number, since it is smaller than the sum of its proper divisors (164199928576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122120011904 is a wasteful number, since it uses less digits than its factorization.
122120011904 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96358 (or 96346 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 23.
The spelling of 122120011904 in words is "one hundred twenty-two billion, one hundred twenty million, eleven thousand, nine hundred four".
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