Base | Representation |
---|---|
bin | 111000110011111100… |
… | …1001010000110100000 |
3 | 102122220112111220100112 |
4 | 1301213321022012200 |
5 | 3444330020333440 |
6 | 132014052510452 |
7 | 11546216630135 |
oct | 1614771120640 |
9 | 378815456315 |
10 | 122002121120 |
11 | 47817020380 |
12 | 1b78a31b428 |
13 | b673c25019 |
14 | 5c951d458c |
15 | 3290b36965 |
hex | 1c67e4a1a0 |
122002121120 has 96 divisors (see below), whose sum is σ = 332928864576. Its totient is φ = 41754726400.
The previous prime is 122002121119. The next prime is 122002121123. The reversal of 122002121120 is 21121200221.
It is a junction number, because it is equal to n+sod(n) for n = 122002121095 and 122002121104.
It is not an unprimeable number, because it can be changed into a prime (122002121123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008886 + ... + 2068725.
It is an arithmetic number, because the mean of its divisors is an integer number (3468009006).
Almost surely, 2122002121120 is an apocalyptic number.
122002121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122002121120 is an abundant number, since it is smaller than the sum of its proper divisors (210926743456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122002121120 is a wasteful number, since it uses less digits than its factorization.
122002121120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4077654 (or 4077646 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 122002121120 its reverse (21121200221), we get a palindrome (143123321341).
The spelling of 122002121120 in words is "one hundred twenty-two billion, two million, one hundred twenty-one thousand, one hundred twenty".
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