Base | Representation |
---|---|
bin | 11011110000111100110101… |
… | …010101110011100011100110 |
3 | 121000100201010012212211212200 |
4 | 123300330311111303203212 |
5 | 112001132023141214342 |
6 | 1111413023004555330 |
7 | 34502144100026334 |
oct | 3360746525634346 |
9 | 530321105784780 |
10 | 122111110101222 |
11 | 359aa038249630 |
12 | 11841b4b852b46 |
13 | 531a04a167568 |
14 | 22222d0310b54 |
15 | e1b5cbe0994c |
hex | 6f0f355738e6 |
122111110101222 has 96 divisors (see below), whose sum is σ = 296477997233184. Its totient is φ = 35997078067200.
The previous prime is 122111110101199. The next prime is 122111110101229. The reversal of 122111110101222 is 222101011111221.
It is a happy number.
122111110101222 is a `hidden beast` number, since 1 + 221 + 11 + 110 + 101 + 222 = 666.
It is a super-2 number, since 2×1221111101012222 (a number of 29 digits) contains 22 as substring.
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 = 122111110101195 and 122111110101204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122111110101229) 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, 41212918 + ... + 44076374.
It is an arithmetic number, because the mean of its divisors is an integer number (3088312471179).
Almost surely, 2122111110101222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122111110101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148238998616592).
122111110101222 is an abundant number, since it is smaller than the sum of its proper divisors (174366887131962).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122111110101222 is a wasteful number, since it uses less digits than its factorization.
122111110101222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2869334 (or 2869331 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 122111110101222 its reverse (222101011111221), we get a palindrome (344212121212443).
The spelling of 122111110101222 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, two hundred twenty-two".
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