| Base | Representation |
|---|---|
| bin | 1110100100100… |
| … | …10100011110000 |
| 3 | 22112000012001200 |
| 4 | 13102102203300 |
| 5 | 222243010440 |
| 6 | 20043531200 |
| 7 | 3012660420 |
| oct | 722224360 |
| 9 | 275005050 |
| 10 | 122235120 |
| 11 | 62aa9067 |
| 12 | 34b29b00 |
| 13 | 1c42a397 |
| 14 | 1233c480 |
| 15 | aae7c30 |
| hex | 74928f0 |
122235120 has 240 divisors, whose sum is σ = 476636160. Its totient is φ = 27495936.
The previous prime is 122235103. The next prime is 122235131. The reversal of 122235120 is 21532221.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1222351202 = 29882849122828800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 122235093 and 122235102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398007 + ... + 398313.
It is an arithmetic number, because the mean of its divisors is an integer number (1985984).
Almost surely, 2122235120 is an apocalyptic number.
122235120 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 122235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238318080).
122235120 is an abundant number, since it is smaller than the sum of its proper divisors (354401040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122235120 is a wasteful number, since it uses less digits than its factorization.
122235120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 412 (or 403 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 122235120 is about 11055.9992764110. Note that the first 3 decimals coincide. The cubic root of 122235120 is about 496.2859736583.
Adding to 122235120 its reverse (21532221), we get a palindrome (143767341).
The spelling of 122235120 in words is "one hundred twenty-two million, two hundred thirty-five thousand, one hundred twenty".
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