Base | Representation |
---|---|
bin | 11011100010100011101111… |
… | …101111110000101100000110 |
3 | 120212212011022101221020120100 |
4 | 123202203233233300230012 |
5 | 111333431030101201042 |
6 | 1105334420302344530 |
7 | 34340532360043611 |
oct | 3342435757605406 |
9 | 525764271836510 |
10 | 121122100022022 |
11 | 356586598a7910 |
12 | 1170233628b146 |
13 | 52779c39a7748 |
14 | 21ca4ab6b3178 |
15 | e009e53e124c |
hex | 6e28efbf0b06 |
121122100022022 has 96 divisors (see below), whose sum is σ = 289297842462720. Its totient is φ = 36318017640960.
The previous prime is 121122100021987. The next prime is 121122100022023. The reversal of 121122100022022 is 220220001221121.
It is a happy number.
121122100022022 is a `hidden beast` number, since 1 + 211 + 2 + 210 + 0 + 0 + 220 + 22 = 666.
It is a super-2 number, since 2×1211221000220222 (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 = 121122100021986 and 121122100022004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (121122100022023) 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, 95843979 + ... + 97099497.
It is an arithmetic number, because the mean of its divisors is an integer number (3013519192320).
Almost surely, 2121122100022022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 121122100022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144648921231360).
121122100022022 is an abundant number, since it is smaller than the sum of its proper divisors (168175742440698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121122100022022 is a wasteful number, since it uses less digits than its factorization.
121122100022022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1260658 (or 1260655 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 121122100022022 its reverse (220220001221121), we get a palindrome (341342101243143).
The spelling of 121122100022022 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, twenty-two".
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