Base | Representation |
---|---|
bin | 11011101111100111111110… |
… | …110000110100000100100000 |
3 | 121000000222221121101022022012 |
4 | 123233213332300310010200 |
5 | 111443133430012333440 |
6 | 1111303114133532052 |
7 | 34462440232002233 |
oct | 3357477660640440 |
9 | 530028847338265 |
10 | 122020000121120 |
11 | 35974434017012 |
12 | 118283631a4028 |
13 | 531158a3abb2a |
14 | 221bb29c3741a |
15 | e190483c4e65 |
hex | 6ef9fec34120 |
122020000121120 has 96 divisors (see below), whose sum is σ = 290304720171648. Its totient is φ = 48464495546368.
The previous prime is 122020000121083. The next prime is 122020000121147. The reversal of 122020000121120 is 21121000020221.
It is a junction number, because it is equal to n+sod(n) for n = 122020000121095 and 122020000121104.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22892744 + ... + 27714936.
It is an arithmetic number, because the mean of its divisors is an integer number (3024007501788).
Almost surely, 2122020000121120 is an apocalyptic number.
122020000121120 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 122020000121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152360085824).
122020000121120 is an abundant number, since it is smaller than the sum of its proper divisors (168284720050528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122020000121120 is a wasteful number, since it uses less digits than its factorization.
122020000121120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4823322 (or 4823314 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 122020000121120 its reverse (21121000020221), we get a palindrome (143141000141341).
The spelling of 122020000121120 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-one thousand, one hundred twenty".
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