Base | Representation |
---|---|
bin | 1110101011010… |
… | …10100110100000 |
3 | 22120200010221012 |
4 | 13111222212200 |
5 | 223004320112 |
6 | 20114520052 |
7 | 3023334350 |
oct | 725524640 |
9 | 276603835 |
10 | 123120032 |
11 | 635529a2 |
12 | 35296028 |
13 | 1c67a0b9 |
14 | 124ccb60 |
15 | ac20022 |
hex | 756a9a0 |
123120032 has 24 divisors (see below), whose sum is σ = 277020576. Its totient is φ = 52765632.
The previous prime is 123120029. The next prime is 123120047. The reversal of 123120032 is 230021321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 123119989 and 123120016.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274598 + ... + 275045.
It is an arithmetic number, because the mean of its divisors is an integer number (11542524).
Almost surely, 2123120032 is an apocalyptic number.
It is an amenable number.
123120032 is an abundant number, since it is smaller than the sum of its proper divisors (153900544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123120032 is an equidigital number, since it uses as much as digits as its factorization.
123120032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 549660 (or 549652 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 123120032 is about 11095.9466473123. The cubic root of 123120032 is about 497.4807036109.
Adding to 123120032 its reverse (230021321), we get a palindrome (353141353).
The spelling of 123120032 in words is "one hundred twenty-three million, one hundred twenty thousand, thirty-two".
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