| Base | Representation |
|---|---|
| bin | 1010000100011011000101… |
| … | …10011101010111001110000 |
| 3 | 2220101202220222021100022000 |
| 4 | 11002031202303222321300 |
| 5 | 10400234223303414440 |
| 6 | 115031554233214000 |
| 7 | 4443502464436500 |
| oct | 502154263527160 |
| 9 | 86352828240260 |
| 10 | 22142214123120 |
| 11 | 7067507698483 |
| 12 | 2597386861300 |
| 13 | c48004044c00 |
| 14 | 567990411a00 |
| 15 | 285e83141730 |
| hex | 142362ceae70 |
22142214123120 has 720 divisors, whose sum is σ = 96069104442720. Its totient is φ = 4671760084992.
The previous prime is 22142214123109. The next prime is 22142214123131. The reversal of 22142214123120 is 2132141224122.
22142214123120 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 221 + 412 + 3 + 1 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (22142214123109) and next prime (22142214123131).
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17268012 + ... + 18505908.
It is an arithmetic number, because the mean of its divisors is an integer number (133429311726).
Almost surely, 222142214123120 is an apocalyptic number.
22142214123120 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 22142214123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48034552221360).
22142214123120 is an abundant number, since it is smaller than the sum of its proper divisors (73926890319600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22142214123120 is a wasteful number, since it uses less digits than its factorization.
22142214123120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1237959 (or 1237927 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
Adding to 22142214123120 its reverse (2132141224122), we get a palindrome (24274355347242).
The spelling of 22142214123120 in words is "twenty-two trillion, one hundred forty-two billion, two hundred fourteen million, one hundred twenty-three thousand, one hundred twenty".
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