Base | Representation |
---|---|
bin | 111000111101011011… |
… | …0100100110100010100 |
3 | 102200201201001112221100 |
4 | 1301322312210310110 |
5 | 4001002433224340 |
6 | 132105414350100 |
7 | 11560131432414 |
oct | 1617266446424 |
9 | 380651045840 |
10 | 122320211220 |
11 | 4796a630159 |
12 | 1b85895b330 |
13 | b6c4ab7b0c |
14 | 5cc5556644 |
15 | 32ada1a830 |
hex | 1c7ada4d14 |
122320211220 has 72 divisors (see below), whose sum is σ = 371919529800. Its totient is φ = 32541223680.
The previous prime is 122320211201. The next prime is 122320211243. The reversal of 122320211220 is 22112023221.
122320211220 is a `hidden beast` number, since 1 + 2 + 232 + 0 + 211 + 220 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 8280272016 + 114039939204 = 90996^2 + 337698^2 .
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 = 122320211193 and 122320211202.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 731295 + ... + 882854.
It is an arithmetic number, because the mean of its divisors is an integer number (5165549025).
Almost surely, 2122320211220 is an apocalyptic number.
122320211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122320211220 is an abundant number, since it is smaller than the sum of its proper divisors (249599318580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122320211220 is a wasteful number, since it uses less digits than its factorization.
122320211220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1614585 (or 1614580 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 122320211220 its reverse (22112023221), we get a palindrome (144432234441).
The spelling of 122320211220 in words is "one hundred twenty-two billion, three hundred twenty million, two hundred eleven thousand, two hundred twenty".
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