Base | Representation |
---|---|
bin | 1011000111010110110100… |
… | …0001010101000011000100 |
3 | 1121021022120021022022000121 |
4 | 2301311231001111003010 |
5 | 3100212112310201040 |
6 | 41554131023151324 |
7 | 2400640021501333 |
oct | 261655501250304 |
9 | 47238507268017 |
10 | 12221011022020 |
11 | 39919a1136909 |
12 | 145461ba45544 |
13 | 6a85899b2668 |
14 | 303700361d1a |
15 | 162d6ac6cc4a |
hex | b1d6d0550c4 |
12221011022020 has 24 divisors (see below), whose sum is σ = 25664271121944. Its totient is φ = 4888376222976.
The previous prime is 12221011021991. The next prime is 12221011022027. The reversal of 12221011022020 is 2022011012221.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 831681985156 + 11389329036864 = 911966^2 + 3374808^2 .
It is a super-2 number, since 2×122210110220202 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12221011021985 and 12221011022003.
It is not an unprimeable number, because it can be changed into a prime (12221011022027) 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 7 ways as a sum of consecutive naturals, for example, 1988512 + ... + 5328808.
It is an arithmetic number, because the mean of its divisors is an integer number (1069344630081).
Almost surely, 212221011022020 is an apocalyptic number.
12221011022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12221011022020 is an abundant number, since it is smaller than the sum of its proper divisors (13443260099924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12221011022020 is a wasteful number, since it uses less digits than its factorization.
12221011022020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3523239 (or 3523237 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 12221011022020 its reverse (2022011012221), we get a palindrome (14243022034241).
The spelling of 12221011022020 in words is "twelve trillion, two hundred twenty-one billion, eleven million, twenty-two thousand, twenty".
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