Base | Representation |
---|---|
bin | 100100011100111… |
… | …0101010010000000 |
3 | 10011020111221012202 |
4 | 1020321311102000 |
5 | 10001104320000 |
6 | 321211412332 |
7 | 42211230344 |
oct | 11071652200 |
9 | 3136457182 |
10 | 1223120000 |
11 | 578468183 |
12 | 2a17540a8 |
13 | 16652aa5b |
14 | b862b624 |
15 | 725a5dd5 |
hex | 48e75480 |
1223120000 has 80 divisors (see below), whose sum is σ = 3045079950. Its totient is φ = 489216000.
The previous prime is 1223119987. The next prime is 1223120011. The reversal of 1223120000 is 213221.
It is a happy number.
It can be written as a sum of positive squares in 5 ways, for example, as 35904064 + 1187215936 = 5992^2 + 34456^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 72356 + ... + 87644.
Almost surely, 21223120000 is an apocalyptic number.
1223120000 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 1223120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522539975).
1223120000 is an abundant number, since it is smaller than the sum of its proper divisors (1821959950).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223120000 is an frugal number, since it uses more digits than its factorization.
1223120000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15323 (or 15296 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 1223120000 is about 34973.1325448551. The cubic root of 1223120000 is about 1069.4398325670.
Adding to 1223120000 its reverse (213221), we get a palindrome (1223333221).
The spelling of 1223120000 in words is "one billion, two hundred twenty-three million, one hundred twenty thousand".
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