Base | Representation |
---|---|
bin | 11011110011110111001000… |
… | …010000000101111101100000 |
3 | 121001001211102212201202021110 |
4 | 123303313020100011331200 |
5 | 112012421210144200422 |
6 | 1112044544043423320 |
7 | 34522455103423023 |
oct | 3363671020057540 |
9 | 531054385652243 |
10 | 122311143350112 |
11 | 35a7695685a152 |
12 | 11874876524b40 |
13 | 5332b78328422 |
14 | 222bc689a91ba |
15 | e218d824a60c |
hex | 6f3dc8405f60 |
122311143350112 has 48 divisors (see below), whose sum is σ = 321069098957040. Its totient is φ = 40770083000832.
The previous prime is 122311143350059. The next prime is 122311143350117. The reversal of 122311143350112 is 211053341113221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×1223111433501122 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 122311143350112.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122311143350117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8738938 + ... + 17916230.
It is an arithmetic number, because the mean of its divisors is an integer number (6688939561605).
Almost surely, 2122311143350112 is an apocalyptic number.
122311143350112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
122311143350112 is an abundant number, since it is smaller than the sum of its proper divisors (198757955606928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122311143350112 is a wasteful number, since it uses less digits than its factorization.
122311143350112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9316135 (or 9316127 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 30.
Adding to 122311143350112 its reverse (211053341113221), we get a palindrome (333364484463333).
The spelling of 122311143350112 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-three million, three hundred fifty thousand, one hundred twelve".
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