Base | Representation |
---|---|
bin | 1010111011110011110111… |
… | …0100100100101100000000 |
3 | 1120120100120012021111222211 |
4 | 2232330331310210230000 |
5 | 3033434342031402230 |
6 | 41323043544111504 |
7 | 2350415330256010 |
oct | 256747564445400 |
9 | 46510505244884 |
10 | 12022650653440 |
11 | 3915860955aa9 |
12 | 14220a1465594 |
13 | 6929672940bb |
14 | 2d7c83d2dc40 |
15 | 15cb0b72542a |
hex | aef3dd24b00 |
12022650653440 has 576 divisors, whose sum is σ = 35273079072000. Its totient is φ = 3832553668608.
The previous prime is 12022650653341. The next prime is 12022650653441. The reversal of 12022650653440 is 4435605622021.
It is a happy number.
12022650653440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×120226506534402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 12022650653393 and 12022650653402.
It is not an unprimeable number, because it can be changed into a prime (12022650653441) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4471047616 + ... + 4471050304.
It is an arithmetic number, because the mean of its divisors is an integer number (61237984500).
Almost surely, 212022650653440 is an apocalyptic number.
12022650653440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12022650653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17636539536000).
12022650653440 is an abundant number, since it is smaller than the sum of its proper divisors (23250428418560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12022650653440 is a wasteful number, since it uses less digits than its factorization.
12022650653440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3080 (or 3066 counting only the distinct ones).
The product of its (nonzero) digits is 345600, while the sum is 40.
The spelling of 12022650653440 in words is "twelve trillion, twenty-two billion, six hundred fifty million, six hundred fifty-three thousand, four hundred forty".
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