Base | Representation |
---|---|
bin | 11100000001000111101000… |
… | …001011101001001000101100 |
3 | 121011021221001211100122212000 |
4 | 130001013220023221020230 |
5 | 112122333042300334012 |
6 | 1114023300333212300 |
7 | 34645340200254015 |
oct | 3401075013511054 |
9 | 534257054318760 |
10 | 123222212121132 |
11 | 36298279389493 |
12 | 119a1359631090 |
13 | 539aa6003a187 |
14 | 225ddb604400c |
15 | e3a45c39cddc |
hex | 7011e82e922c |
123222212121132 has 96 divisors (see below), whose sum is σ = 323112779619840. Its totient is φ = 40606646258880.
The previous prime is 123222212121103. The next prime is 123222212121133. The reversal of 123222212121132 is 231121212222321.
123222212121132 is a `hidden beast` number, since 1 + 2 + 322 + 2 + 2 + 121 + 211 + 3 + 2 = 666.
It is a super-2 number, since 2×1232222121211322 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 123222212121096 and 123222212121105.
It is not an unprimeable number, because it can be changed into a prime (123222212121133) by changing a digit.
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, 5319919 + ... + 16575462.
It is an arithmetic number, because the mean of its divisors is an integer number (3365758121040).
Almost surely, 2123222212121132 is an apocalyptic number.
123222212121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
123222212121132 is an abundant number, since it is smaller than the sum of its proper divisors (199890567498708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123222212121132 is a wasteful number, since it uses less digits than its factorization.
123222212121132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21895988 (or 21895980 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
Adding to 123222212121132 its reverse (231121212222321), we get a palindrome (354343424343453).
The spelling of 123222212121132 in words is "one hundred twenty-three trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred thirty-two".
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