| Base | Representation |
|---|---|
| bin | 10110110011011101… |
| … | …10100101110000000 |
| 3 | 1011121020002222112100 |
| 4 | 23121232310232000 |
| 5 | 200033133140044 |
| 6 | 5342503030400 |
| 7 | 612250431015 |
| oct | 133156645600 |
| 9 | 34536088470 |
| 10 | 12242865024 |
| 11 | 5212861775 |
| 12 | 245813b400 |
| 13 | 1201579740 |
| 14 | 841d9b70c |
| 15 | 4b9c45869 |
| hex | 2d9bb4b80 |
12242865024 has 384 divisors, whose sum is σ = 39421025280. Its totient is φ = 3622993920.
The previous prime is 12242864987. The next prime is 12242865059. The reversal of 12242865024 is 42056824221.
12242865024 is a `hidden beast` number, since 122 + 4 + 28 + 6 + 502 + 4 = 666.
12242865024 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 (384).
It is a super-3 number, since 3×122428650243 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 12242865024.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 77979954 + ... + 77980110.
It is an arithmetic number, because the mean of its divisors is an integer number (102658920).
Almost surely, 212242865024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12242865024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710512640).
12242865024 is an abundant number, since it is smaller than the sum of its proper divisors (27178160256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12242865024 is a wasteful number, since it uses less digits than its factorization.
12242865024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358 (or 343 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The spelling of 12242865024 in words is "twelve billion, two hundred forty-two million, eight hundred sixty-five thousand, twenty-four".
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