| Base | Representation |
|---|---|
| bin | 1011000111110011111010… |
| … | …1001110001110100000000 |
| 3 | 1121022001201200222110210000 |
| 4 | 2301330332221301310000 |
| 5 | 3100324112143443130 |
| 6 | 42001502125440000 |
| 7 | 2401334430462000 |
| oct | 261747651616400 |
| 9 | 47261650873700 |
| 10 | 12228823031040 |
| 11 | 399523a883910 |
| 12 | 1456040110000 |
| 13 | 6a92332b45c5 |
| 14 | 303c41a92000 |
| 15 | 1631769d2260 |
| hex | b1f3ea71d00 |
12228823031040 has 2880 divisors, whose sum is σ = 57040433049600. Its totient is φ = 2478545879040.
The previous prime is 12228823031027. The next prime is 12228823031069. The reversal of 12228823031040 is 4013032882221.
12228823031040 is a `hidden beast` number, since 1 + 2 + 2 + 288 + 23 + 0 + 310 + 40 = 666.
12228823031040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×122288230310402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12228823030986 and 12228823031004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16820939157 + ... + 16820939883.
It is an arithmetic number, because the mean of its divisors is an integer number (19805705920).
Almost surely, 212228823031040 is an apocalyptic number.
12228823031040 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 12228823031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28520216524800).
12228823031040 is an abundant number, since it is smaller than the sum of its proper divisors (44811610018560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12228823031040 is an equidigital number, since it uses as much as digits as its factorization.
12228823031040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 835 (or 798 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 12228823031040 in words is "twelve trillion, two hundred twenty-eight billion, eight hundred twenty-three million, thirty-one thousand, forty".
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