Base | Representation |
---|---|
bin | 111001010101010000… |
… | …1111111000011010100 |
3 | 102202210110020010112012 |
4 | 1302222201333003110 |
5 | 4004122222320040 |
6 | 132321031243352 |
7 | 11616013516142 |
oct | 1625241770324 |
9 | 382713203465 |
10 | 123120120020 |
11 | 48240109507 |
12 | 1ba40819558 |
13 | b7c1738331 |
14 | 5d5d89a592 |
15 | 3308d75865 |
hex | 1caa87f0d4 |
123120120020 has 96 divisors (see below), whose sum is σ = 271090955520. Its totient is φ = 46907463680.
The previous prime is 123120119957. The next prime is 123120120043. The reversal of 123120120020 is 20021021321.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 123120119977 and 123120120004.
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 31 ways as a sum of consecutive naturals, for example, 42409889 + ... + 42412791.
It is an arithmetic number, because the mean of its divisors is an integer number (2823864120).
Almost surely, 2123120120020 is an apocalyptic number.
123120120020 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 123120120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135545477760).
123120120020 is an abundant number, since it is smaller than the sum of its proper divisors (147970835500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123120120020 is a wasteful number, since it uses less digits than its factorization.
123120120020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3905 (or 3903 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
Adding to 123120120020 its reverse (20021021321), we get a palindrome (143141141341).
The spelling of 123120120020 in words is "one hundred twenty-three billion, one hundred twenty million, one hundred twenty thousand, twenty".
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