Base | Representation |
---|---|
bin | 11011010011110101010101… |
… | …111011001110100011101010 |
3 | 120202021102102111022210120100 |
4 | 123103311111323032203222 |
5 | 111220341143204201442 |
6 | 1103241510504410230 |
7 | 34204450530003324 |
oct | 3323652573164352 |
9 | 522242374283510 |
10 | 120110202022122 |
11 | 352a84a5858554 |
12 | 1157a1b3776976 |
13 | 520346073b3a0 |
14 | 2193517000614 |
15 | dd451e35684c |
hex | 6d3d55ece8ea |
120110202022122 has 96 divisors (see below), whose sum is σ = 292478233477248. Its totient is φ = 35345807849088.
The previous prime is 120110202022103. The next prime is 120110202022127. The reversal of 120110202022122 is 221220202011021.
It is a happy number.
120110202022122 is a `hidden beast` number, since 120 + 110 + 20 + 202 + 212 + 2 = 666.
120110202022122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 120110202022095 and 120110202022104.
It is not an unprimeable number, because it can be changed into a prime (120110202022127) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42477508 + ... + 45216800.
It is an arithmetic number, because the mean of its divisors is an integer number (3046648265388).
Almost surely, 2120110202022122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120110202022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146239116738624).
120110202022122 is an abundant number, since it is smaller than the sum of its proper divisors (172368031455126).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120110202022122 is a wasteful number, since it uses less digits than its factorization.
120110202022122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2747484 (or 2747481 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 120110202022122 its reverse (221220202011021), we get a palindrome (341330404033143).
The spelling of 120110202022122 in words is "one hundred twenty trillion, one hundred ten billion, two hundred two million, twenty-two thousand, one hundred twenty-two".
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