Base | Representation |
---|---|
bin | 100011110100110… |
… | …1111000101110000 |
3 | 10002210000011220112 |
4 | 1013221233011300 |
5 | 4430220414440 |
6 | 315141400452 |
7 | 41534610062 |
oct | 10751570560 |
9 | 3083004815 |
10 | 1202123120 |
11 | 567626990 |
12 | 296709128 |
13 | 162088973 |
14 | b5923732 |
15 | 70809965 |
hex | 47a6f170 |
1202123120 has 80 divisors (see below), whose sum is σ = 3090953952. Its totient is φ = 431124480.
The previous prime is 1202123063. The next prime is 1202123123. The reversal of 1202123120 is 213212021.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 1202123095 and 1202123104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1202123123) 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, 54884 + ... + 73596.
Almost surely, 21202123120 is an apocalyptic number.
1202123120 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 1202123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545476976).
1202123120 is an abundant number, since it is smaller than the sum of its proper divisors (1888830832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1202123120 is a wasteful number, since it uses less digits than its factorization.
1202123120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18810 (or 18804 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 1202123120 is about 34671.6472063270. The cubic root of 1202123120 is about 1063.2849087353.
Adding to 1202123120 its reverse (213212021), we get a palindrome (1415335141).
The spelling of 1202123120 in words is "one billion, two hundred two million, one hundred twenty-three thousand, one hundred twenty".
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