Base | Representation |
---|---|
bin | 1110100011101… |
… | …11111110001100 |
3 | 22111210122200100 |
4 | 13101313332030 |
5 | 222231014340 |
6 | 20041331100 |
7 | 3012025056 |
oct | 721677614 |
9 | 274718610 |
10 | 122126220 |
11 | 62a34267 |
12 | 34a96a90 |
13 | 1c3bc948 |
14 | 123108d6 |
15 | aac5830 |
hex | 7477f8c |
122126220 has 36 divisors (see below), whose sum is σ = 370450080. Its totient is φ = 32566944.
The previous prime is 122126203. The next prime is 122126231. The reversal of 122126220 is 22621221.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1221262202 = 29829627222976800, 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 = 122126193 and 122126202.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339060 + ... + 339419.
It is an arithmetic number, because the mean of its divisors is an integer number (10290280).
Almost surely, 2122126220 is an apocalyptic number.
122126220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122126220 is an abundant number, since it is smaller than the sum of its proper divisors (248323860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122126220 is a wasteful number, since it uses less digits than its factorization.
122126220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 678494 (or 678489 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 122126220 is about 11051.0732510467. The cubic root of 122126220 is about 496.1385484876.
Adding to 122126220 its reverse (22621221), we get a palindrome (144747441).
The spelling of 122126220 in words is "one hundred twenty-two million, one hundred twenty-six thousand, two hundred twenty".
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