| Base | Representation |
|---|---|
| bin | 11000000000101011… |
| … | …00111100100000000 |
| 3 | 1020021100212202022000 |
| 4 | 30000111213210000 |
| 5 | 202344441201320 |
| 6 | 5531041344000 |
| 7 | 634304012463 |
| oct | 140025474400 |
| 9 | 36240782260 |
| 10 | 12890568960 |
| 11 | 5515432285 |
| 12 | 25b9038000 |
| 13 | 12a58085c9 |
| 14 | 8a40012da |
| 15 | 506a37c90 |
| hex | 300567900 |
12890568960 has 288 divisors, whose sum is σ = 47735412480. Its totient is φ = 3287826432.
The previous prime is 12890568947. The next prime is 12890568967. The reversal of 12890568960 is 6986509821.
It is a happy number.
12890568960 is a `hidden beast` number, since 12 + 8 + 9 + 0 + 568 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×128905689602 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 12890568897 and 12890568906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12890568967) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786772 + ... + 802988.
It is an arithmetic number, because the mean of its divisors is an integer number (165747960).
Almost surely, 212890568960 is an apocalyptic number.
12890568960 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 12890568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23867706240).
12890568960 is an abundant number, since it is smaller than the sum of its proper divisors (34844843520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12890568960 is a wasteful number, since it uses less digits than its factorization.
12890568960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16270 (or 16250 counting only the distinct ones).
The product of its (nonzero) digits is 1866240, while the sum is 54.
The spelling of 12890568960 in words is "twelve billion, eight hundred ninety million, five hundred sixty-eight thousand, nine hundred sixty".
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