Base | Representation |
---|---|
bin | 10110110000000100… |
… | …01111100001100000 |
3 | 1011112020112212101200 |
4 | 23120002033201200 |
5 | 200003341313440 |
6 | 5340005001200 |
7 | 611453460615 |
oct | 133002174140 |
9 | 34466485350 |
10 | 12214401120 |
11 | 51a8790389 |
12 | 244a6b3200 |
13 | 11c86c19ac |
14 | 83c2ac50c |
15 | 4b74c1c30 |
hex | 2d808f860 |
12214401120 has 144 divisors (see below), whose sum is σ = 42651200592. Its totient is φ = 3181409280.
The previous prime is 12214401107. The next prime is 12214401139. The reversal of 12214401120 is 2110441221.
12214401120 is a `hidden beast` number, since 1 + 221 + 440 + 1 + 1 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 12214401093 and 12214401102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36711 + ... + 160550.
It is an arithmetic number, because the mean of its divisors is an integer number (296188893).
Almost surely, 212214401120 is an apocalyptic number.
12214401120 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 12214401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21325600296).
12214401120 is an abundant number, since it is smaller than the sum of its proper divisors (30436799472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12214401120 is a wasteful number, since it uses less digits than its factorization.
12214401120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 197325 (or 197314 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 12214401120 its reverse (2110441221), we get a palindrome (14324842341).
The spelling of 12214401120 in words is "twelve billion, two hundred fourteen million, four hundred one thousand, one hundred twenty".
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