Base | Representation |
---|---|
bin | 1110100110111… |
… | …01111111111000 |
3 | 22112120212221010 |
4 | 13103131333320 |
5 | 222332402440 |
6 | 20054313520 |
7 | 3015415326 |
oct | 723357770 |
9 | 275525833 |
10 | 122544120 |
11 | 6319a236 |
12 | 350588a0 |
13 | 1c507c1a |
14 | 123bcd16 |
15 | ab59580 |
hex | 74ddff8 |
122544120 has 64 divisors (see below), whose sum is σ = 373681440. Its totient is φ = 32140800.
The previous prime is 122544119. The next prime is 122544127. The reversal of 122544120 is 21445221.
It is a super-2 number, since 2×1225441202 = 30034122693148800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122544127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051 + ... + 15690.
Almost surely, 2122544120 is an apocalyptic number.
122544120 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 122544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186840720).
122544120 is an abundant number, since it is smaller than the sum of its proper divisors (251137320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122544120 is a wasteful number, since it uses less digits than its factorization.
122544120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16816 (or 16812 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 21.
The square root of 122544120 is about 11069.9647695916. The cubic root of 122544120 is about 496.7038113645.
Adding to 122544120 its reverse (21445221), we get a palindrome (143989341).
The spelling of 122544120 in words is "one hundred twenty-two million, five hundred forty-four thousand, one hundred twenty".
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