| Base | Representation |
|---|---|
| bin | 111001010010101010… |
| … | …1101100010000010100 |
| 3 | 102202120101022112201100 |
| 4 | 1302211111230100110 |
| 5 | 4003432422324340 |
| 6 | 132304240230100 |
| 7 | 11613605224500 |
| oct | 1624525542024 |
| 9 | 382511275640 |
| 10 | 123033011220 |
| 11 | 481a5a22369 |
| 12 | 1ba1760b330 |
| 13 | b7a9689372 |
| 14 | 5d520a3300 |
| 15 | 33013ba830 |
| hex | 1ca556c414 |
123033011220 has 216 divisors, whose sum is σ = 435939672168. Its totient is φ = 28004659200.
The previous prime is 123033011219. The next prime is 123033011239. The reversal of 123033011220 is 22110330321.
123033011220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2621235204 + 120411776016 = 51198^2 + 347004^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 123033011193 and 123033011202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2096680 + ... + 2154560.
It is an arithmetic number, because the mean of its divisors is an integer number (2018239223).
Almost surely, 2123033011220 is an apocalyptic number.
123033011220 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 123033011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217969836084).
123033011220 is an abundant number, since it is smaller than the sum of its proper divisors (312906660948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123033011220 is a wasteful number, since it uses less digits than its factorization.
123033011220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58151 (or 58139 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 123033011220 its reverse (22110330321), we get a palindrome (145143341541).
The spelling of 123033011220 in words is "one hundred twenty-three billion, thirty-three million, eleven thousand, two hundred twenty".
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