Base | Representation |
---|---|
bin | 100011110000110… |
… | …1000110001111000 |
3 | 10002122000022200220 |
4 | 1013201220301320 |
5 | 4424200000440 |
6 | 315024100040 |
7 | 41510555424 |
oct | 10741506170 |
9 | 3078008626 |
10 | 1200000120 |
11 | 566406940 |
12 | 295a64620 |
13 | 1617c4557 |
14 | b552db84 |
15 | 7053a8d0 |
hex | 47868c78 |
1200000120 has 64 divisors (see below), whose sum is σ = 3927277440. Its totient is φ = 290908800.
The previous prime is 1200000101. The next prime is 1200000121. The reversal of 1200000120 is 210000021.
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 a junction number, because it is equal to n+sod(n) for n = 1200000099 and 1200000108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1200000121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453226 + ... + 455865.
It is an arithmetic number, because the mean of its divisors is an integer number (61363710).
Almost surely, 21200000120 is an apocalyptic number.
1200000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1200000120 is an abundant number, since it is smaller than the sum of its proper divisors (2727277320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200000120 is a wasteful number, since it uses less digits than its factorization.
1200000120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 909116 (or 909112 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 1200000120 is about 34641.0178834283. The cubic root of 1200000120 is about 1062.6586046046.
Adding to 1200000120 its reverse (210000021), we get a palindrome (1410000141).
Subtracting from 1200000120 its reverse (210000021), we obtain a palindrome (990000099).
It can be divided in two parts, 12000001 and 20, that added together give a palindrome (12000021).
The spelling of 1200000120 in words is "one billion, two hundred million, one hundred twenty", and thus it is an aban number.
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