Base | Representation |
---|---|
bin | 1110100010111… |
… | …10101101000000 |
3 | 22111121101201000 |
4 | 13101132231000 |
5 | 222214211340 |
6 | 20035212000 |
7 | 3011114241 |
oct | 721365500 |
9 | 274541630 |
10 | 122022720 |
11 | 62973526 |
12 | 34a47000 |
13 | 1c3847c1 |
14 | 122c4cc8 |
15 | aaa4d30 |
hex | 745eb40 |
122022720 has 224 divisors, whose sum is σ = 446227200. Its totient is φ = 31352832.
The previous prime is 122022713. The next prime is 122022721. The reversal of 122022720 is 27220221.
It is a happy number.
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 = 122022693 and 122022702.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122022721) 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 31 ways as a sum of consecutive naturals, for example, 250317 + ... + 250803.
Almost surely, 2122022720 is an apocalyptic number.
122022720 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 122022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223113600).
122022720 is an abundant number, since it is smaller than the sum of its proper divisors (324204480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122022720 is a wasteful number, since it uses less digits than its factorization.
122022720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 542 (or 526 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 122022720 is about 11046.3894553831. The cubic root of 122022720 is about 495.9983524052.
Adding to 122022720 its reverse (27220221), we get a palindrome (149242941).
The spelling of 122022720 in words is "one hundred twenty-two million, twenty-two thousand, seven hundred twenty".
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