Base | Representation |
---|---|
bin | 100100100111111111000 |
3 | 2020222020220 |
4 | 10210333320 |
5 | 301400440 |
6 | 41420040 |
7 | 13125615 |
oct | 4447770 |
9 | 2228226 |
10 | 1200120 |
11 | 74a739 |
12 | 49a620 |
13 | 33033c |
14 | 23350c |
15 | 18a8d0 |
hex | 124ff8 |
1200120 has 64 divisors (see below), whose sum is σ = 3676320. Its totient is φ = 313344.
The previous prime is 1200109. The next prime is 1200139. The reversal of 1200120 is 210021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 1200099 and 1200108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8692 + ... + 8828.
21200120 is an apocalyptic number.
1200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a pronic number, being equal to 1095×1096.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838160).
1200120 is an abundant number, since it is smaller than the sum of its proper divisors (2476200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200120 is a wasteful number, since it uses less digits than its factorization.
1200120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 224 (or 220 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 1200120 is about 1095.4998858968. The cubic root of 1200120 is about 106.2693989954.
Adding to 1200120 its reverse (210021), we get a palindrome (1410141).
Subtracting from 1200120 its reverse (210021), we obtain a palindrome (990099).
It can be divided in two parts, 12001 and 20, that added together give a palindrome (12021).
The spelling of 1200120 in words is "one million, two hundred thousand, one hundred twenty".
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