| Base | Representation |
|---|---|
| bin | 1010000011110001101101… |
| … | …01111100110011001101000 |
| 3 | 2220022122120211112002110112 |
| 4 | 11001320312233212121220 |
| 5 | 10344403230001201440 |
| 6 | 115013442052033452 |
| 7 | 4442055135623600 |
| oct | 501706657463150 |
| 9 | 86278524462415 |
| 10 | 22120000022120 |
| 11 | 7059048388620 |
| 12 | 2593007302888 |
| 13 | c45ba3a3c550 |
| 14 | 56688405bc00 |
| 15 | 2855d2d20965 |
| hex | 141e36be6668 |
22120000022120 has 768 divisors, whose sum is σ = 72504875520000. Its totient is φ = 5952805447680.
The previous prime is 22120000022119. The next prime is 22120000022123. The reversal of 22120000022120 is 2122000002122.
22120000022120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 22120000022095 and 22120000022104.
It is not an unprimeable number, because it can be changed into a prime (22120000022123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 420673991 + ... + 420726569.
It is an arithmetic number, because the mean of its divisors is an integer number (94407390000).
Almost surely, 222120000022120 is an apocalyptic number.
22120000022120 is a gapful number since it is divisible by the number (20) 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 22120000022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36252437760000).
22120000022120 is an abundant number, since it is smaller than the sum of its proper divisors (50384875497880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22120000022120 is a wasteful number, since it uses less digits than its factorization.
22120000022120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52726 (or 52715 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 22120000022120 its reverse (2122000002122), we get a palindrome (24242000024242).
It can be divided in two parts, 2212000002 and 2120, that added together give a palindrome (2212002122).
The spelling of 22120000022120 in words is "twenty-two trillion, one hundred twenty billion, twenty-two thousand, one hundred twenty".
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