Base | Representation |
---|---|
bin | 10001011110101110010… |
… | …011000111011000001010 |
3 | 11020211120002120201212200 |
4 | 101132232103013120022 |
5 | 124140044322401442 |
6 | 2315455524021030 |
7 | 152533232366256 |
oct | 21365623073012 |
9 | 4224502521780 |
10 | 1201220122122 |
11 | 423486496989 |
12 | 17497a231776 |
13 | 89375306067 |
14 | 421d45b5266 |
15 | 213a6d9d34c |
hex | 117ae4c760a |
1201220122122 has 96 divisors (see below), whose sum is σ = 2691389976912. Its totient is φ = 386907466752.
The previous prime is 1201220122097. The next prime is 1201220122127. The reversal of 1201220122122 is 2212210221021.
It is a happy number.
1201220122122 is a `hidden beast` number, since 1 + 201 + 220 + 1 + 221 + 22 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 1184203180521 + 17016941601 = 1088211^2 + 130449^2 .
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 = 1201220122095 and 1201220122104.
It is not an unprimeable number, because it can be changed into a prime (1201220122127) 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, 114867118 + ... + 114877574.
Almost surely, 21201220122122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1201220122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345694988456).
1201220122122 is an abundant number, since it is smaller than the sum of its proper divisors (1490169854790).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1201220122122 is a wasteful number, since it uses less digits than its factorization.
1201220122122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11672 (or 11669 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 1201220122122 its reverse (2212210221021), we get a palindrome (3413430343143).
The spelling of 1201220122122 in words is "one trillion, two hundred one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-two".
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