| Base | Representation |
|---|---|
| bin | 1011001101001010000001… |
| … | …0110011010001101010000 |
| 3 | 1121121211202201201200221200 |
| 4 | 2303102200112122031100 |
| 5 | 3103330201021342000 |
| 6 | 42112010442151200 |
| 7 | 2411065231513455 |
| oct | 263224026321520 |
| 9 | 47554681650850 |
| 10 | 12320656434000 |
| 11 | 3a201853a3762 |
| 12 | 146b9aaab2500 |
| 13 | 6b4aa9bc07b5 |
| 14 | 30847427d82c |
| 15 | 16574dcb4500 |
| hex | b34a059a350 |
12320656434000 has 240 divisors, whose sum is σ = 43065411114960. Its totient is φ = 3282953318400.
The previous prime is 12320656433951. The next prime is 12320656434001. The reversal of 12320656434000 is 43465602321.
12320656434000 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 6 + 5 + 643 + 4 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3168385760016 + 9152270673984 = 1779996^2 + 3025272^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12320656434001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22936492 + ... + 23467508.
It is an arithmetic number, because the mean of its divisors is an integer number (179439212979).
Almost surely, 212320656434000 is an apocalyptic number.
12320656434000 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 12320656434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21532705557480).
12320656434000 is an abundant number, since it is smaller than the sum of its proper divisors (30744754680960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12320656434000 is a wasteful number, since it uses less digits than its factorization.
12320656434000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 532335 (or 532316 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
The spelling of 12320656434000 in words is "twelve trillion, three hundred twenty billion, six hundred fifty-six million, four hundred thirty-four thousand".
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