| Base | Representation |
|---|---|
| bin | 10111111111011001… |
| … | …00111100000000000 |
| 3 | 1020020121122200121000 |
| 4 | 23333230213200000 |
| 5 | 202334213231200 |
| 6 | 5530015132000 |
| 7 | 634113445650 |
| oct | 137754474000 |
| 9 | 36217580530 |
| 10 | 12879820800 |
| 11 | 550a361000 |
| 12 | 25b5514000 |
| 13 | 12a3514352 |
| 14 | 8a2804360 |
| 15 | 505b13300 |
| hex | 2ffb27800 |
12879820800 has 1152 divisors, whose sum is σ = 59471193600. Its totient is φ = 2676326400.
The previous prime is 12879820781. The next prime is 12879820801. The reversal of 12879820800 is 802897821.
It is a happy number.
12879820800 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 (1152).
It is a super-2 number, since 2×128798208002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12879820801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1170892795 + ... + 1170892805.
It is an arithmetic number, because the mean of its divisors is an integer number (51624300).
Almost surely, 212879820800 is an apocalyptic number.
12879820800 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 12879820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29735596800).
12879820800 is an abundant number, since it is smaller than the sum of its proper divisors (46591372800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12879820800 is an equidigital number, since it uses as much as digits as its factorization.
12879820800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81 (or 28 counting only the distinct ones).
The product of its (nonzero) digits is 129024, while the sum is 45.
The spelling of 12879820800 in words is "twelve billion, eight hundred seventy-nine million, eight hundred twenty thousand, eight hundred".
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