| Base | Representation |
|---|---|
| bin | 1011011101011111100111… |
| … | …0100000000000000000000 |
| 3 | 1122121200020101000020000000 |
| 4 | 2313113321310000000000 |
| 5 | 3122430011020044230 |
| 6 | 42444545440000000 |
| 7 | 2440262465465550 |
| oct | 267277164000000 |
| 9 | 48550211006000 |
| 10 | 12601330237440 |
| 11 | 401921544848a |
| 12 | 14b6280000000 |
| 13 | 7053b9b11129 |
| 14 | 317c9c7b5160 |
| 15 | 16cbc9952b60 |
| hex | b75f9d00000 |
12601330237440 has 1344 divisors, whose sum is σ = 52167721643520. Its totient is φ = 2861958168576.
The previous prime is 12601330237417. The next prime is 12601330237471. The reversal of 12601330237440 is 4473203310621.
12601330237440 is a `hidden beast` number, since 1 + 2 + 60 + 133 + 0 + 23 + 7 + 440 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
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 = 12601330237395 and 12601330237404.
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 63 ways as a sum of consecutive naturals, for example, 80263249842 + ... + 80263249998.
It is an arithmetic number, because the mean of its divisors is an integer number (38815269080).
Almost surely, 212601330237440 is an apocalyptic number.
12601330237440 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 12601330237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083860821760).
12601330237440 is an abundant number, since it is smaller than the sum of its proper divisors (39566391406080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12601330237440 is an frugal number, since it uses more digits than its factorization.
12601330237440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230 (or 174 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The spelling of 12601330237440 in words is "twelve trillion, six hundred one billion, three hundred thirty million, two hundred thirty-seven thousand, four hundred forty".
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