Base | Representation |
---|---|
bin | 11011010010010000110001… |
… | …101100111101111110100110 |
3 | 120201220002201001022220211000 |
4 | 123102100301230331332212 |
5 | 111212104021322401042 |
6 | 1103120131525454130 |
7 | 34163605612001130 |
oct | 3322206154757646 |
9 | 521802631286730 |
10 | 120002220122022 |
11 | 352667238977a7 |
12 | 11561298871346 |
13 | 51c6212385144 |
14 | 218c1d1c68050 |
15 | dd17ee4e974c |
hex | 6d2431b3dfa6 |
120002220122022 has 256 divisors, whose sum is σ = 307800099532800. Its totient is φ = 33947107983360.
The previous prime is 120002220122011. The next prime is 120002220122111. The reversal of 120002220122022 is 220221022200021.
120002220122022 is a `hidden beast` number, since 1 + 200 + 0 + 2 + 220 + 1 + 220 + 22 = 666.
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 = 120002220121986 and 120002220122004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32267333479 + ... + 32267337197.
It is an arithmetic number, because the mean of its divisors is an integer number (1202344138800).
Almost surely, 2120002220122022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120002220122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900049766400).
120002220122022 is an abundant number, since it is smaller than the sum of its proper divisors (187797879410778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120002220122022 is a wasteful number, since it uses less digits than its factorization.
120002220122022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5908 (or 5902 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 120002220122022 its reverse (220221022200021), we get a palindrome (340223242322043).
The spelling of 120002220122022 in words is "one hundred twenty trillion, two billion, two hundred twenty million, one hundred twenty-two thousand, twenty-two".
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