Base | Representation |
---|---|
bin | 1010000110011101000100… |
… | …11111110000010100110100 |
3 | 2220122110001121200221221200 |
4 | 11003032202133300110310 |
5 | 10402410140020333022 |
6 | 115124015232212500 |
7 | 4451523055563264 |
oct | 503164237602464 |
9 | 86573047627850 |
10 | 22212002121012 |
11 | 709406a14a1a0 |
12 | 25a8a0269a130 |
13 | c51776592312 |
14 | 56b0d0bdd7a4 |
15 | 287bb9d26bac |
hex | 1433a27f0534 |
22212002121012 has 288 divisors, whose sum is σ = 63998610084864. Its totient is φ = 6434785843200.
The previous prime is 22212002121011. The next prime is 22212002121041. The reversal of 22212002121012 is 21012120021222.
It is a happy number.
22212002121012 is a `hidden beast` number, since 2 + 221 + 200 + 21 + 210 + 12 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22212002121011) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333395128 + ... + 333461744.
It is an arithmetic number, because the mean of its divisors is an integer number (222217396128).
Almost surely, 222212002121012 is an apocalyptic number.
22212002121012 is a gapful number since it is divisible by the number (22) 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 22212002121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31999305042432).
22212002121012 is an abundant number, since it is smaller than the sum of its proper divisors (41786607963852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22212002121012 is a wasteful number, since it uses less digits than its factorization.
22212002121012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66999 (or 66994 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22212002121012 its reverse (21012120021222), we get a palindrome (43224122142234).
It can be divided in two parts, 222120021210 and 12, that added together give a palindrome (222120021222).
The spelling of 22212002121012 in words is "twenty-two trillion, two hundred twelve billion, two million, one hundred twenty-one thousand, twelve".
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