Base | Representation |
---|---|
bin | 1010111101111111100000… |
… | …1110000101110001110000 |
3 | 1120200221022201122220102000 |
4 | 2233133320032011301300 |
5 | 3040043130214034440 |
6 | 41352203432254000 |
7 | 2353213311363060 |
oct | 257377016056160 |
9 | 46627281586360 |
10 | 12060137643120 |
11 | 392a748324206 |
12 | 1429403841300 |
13 | 69635c8103b8 |
14 | 2d99dc8613a0 |
15 | 15daa27b1730 |
hex | af7f8385c70 |
12060137643120 has 1920 divisors, whose sum is σ = 54927555840000. Its totient is φ = 2372670849024.
The previous prime is 12060137643107. The next prime is 12060137643181. The reversal of 12060137643120 is 2134673106021.
12060137643120 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 0 + 1 + 3 + 7 + 643 + 1 + 2 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2407691176 + ... + 2407696184.
It is an arithmetic number, because the mean of its divisors is an integer number (28608102000).
Almost surely, 212060137643120 is an apocalyptic number.
12060137643120 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 12060137643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27463777920000).
12060137643120 is an abundant number, since it is smaller than the sum of its proper divisors (42867418196880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12060137643120 is a wasteful number, since it uses less digits than its factorization.
12060137643120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5120 (or 5091 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The spelling of 12060137643120 in words is "twelve trillion, sixty billion, one hundred thirty-seven million, six hundred forty-three thousand, one hundred twenty".
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