Base | Representation |
---|---|
bin | 1110100010110… |
… | …11101001011000 |
3 | 22111120202112022 |
4 | 13101123221120 |
5 | 222213311300 |
6 | 20035034012 |
7 | 3011032604 |
oct | 721335130 |
9 | 274522468 |
10 | 122010200 |
11 | 62965084 |
12 | 34a3b908 |
13 | 1c37bbb0 |
14 | 122c0504 |
15 | aaa1285 |
hex | 745ba58 |
122010200 has 96 divisors (see below), whose sum is σ = 308417760. Its totient is φ = 44620800.
The previous prime is 122010199. The next prime is 122010209. The reversal of 122010200 is 2010221.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122010209) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434060 + ... + 434340.
It is an arithmetic number, because the mean of its divisors is an integer number (3212685).
Almost surely, 2122010200 is an apocalyptic number.
122010200 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 122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154208880).
122010200 is an abundant number, since it is smaller than the sum of its proper divisors (186407560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122010200 is a wasteful number, since it uses less digits than its factorization.
122010200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 477 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 122010200 is about 11045.8227398415. The cubic root of 122010200 is about 495.9813880460.
Adding to 122010200 its reverse (2010221), we get a palindrome (124020421).
The spelling of 122010200 in words is "one hundred twenty-two million, ten thousand, two hundred".
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