| Base | Representation |
|---|---|
| bin | 1110100101011… |
| … | …00011101010000 |
| 3 | 22112012120120120 |
| 4 | 13102230131100 |
| 5 | 222304404300 |
| 6 | 20050110240 |
| 7 | 3013611612 |
| oct | 722543520 |
| 9 | 275176516 |
| 10 | 122341200 |
| 11 | 63070833 |
| 12 | 34b7b380 |
| 13 | 1c466757 |
| 14 | 12368db2 |
| 15 | ab193a0 |
| hex | 74ac750 |
122341200 has 120 divisors (see below), whose sum is σ = 394394400. Its totient is φ = 32417280.
The previous prime is 122341181. The next prime is 122341201. The reversal of 122341200 is 2143221.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 122341200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122341201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322611 + ... + 322989.
It is an arithmetic number, because the mean of its divisors is an integer number (3286620).
Almost surely, 2122341200 is an apocalyptic number.
122341200 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 122341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197197200).
122341200 is an abundant number, since it is smaller than the sum of its proper divisors (272053200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122341200 is a wasteful number, since it uses less digits than its factorization.
122341200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 669 (or 658 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 122341200 is about 11060.7956314182. The cubic root of 122341200 is about 496.4294970420.
Adding to 122341200 its reverse (2143221), we get a palindrome (124484421).
The spelling of 122341200 in words is "one hundred twenty-two million, three hundred forty-one thousand, two hundred".
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