Base | Representation |
---|---|
bin | 1011001001001010010111… |
… | …0000100001111011100000 |
3 | 1121101021121212122022200000 |
4 | 2302102211300201323200 |
5 | 3101214123042100340 |
6 | 42020300454100000 |
7 | 2403115445024016 |
oct | 262224560417340 |
9 | 47337555568600 |
10 | 12252027690720 |
11 | 39a4068249104 |
12 | 145a63734a600 |
13 | 6ab49089c96c |
14 | 3050038168b6 |
15 | 163a83c6bd30 |
hex | b24a5c21ee0 |
12252027690720 has 288 divisors, whose sum is σ = 43845751928160. Its totient is φ = 3230496276480.
The previous prime is 12252027690719. The next prime is 12252027690811. The reversal of 12252027690720 is 2709672025221.
12252027690720 is a `hidden beast` number, since 1 + 22 + 520 + 27 + 69 + 0 + 7 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×122520276907202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1689960 + ... + 5230680.
It is an arithmetic number, because the mean of its divisors is an integer number (152242194195).
Almost surely, 212252027690720 is an apocalyptic number.
12252027690720 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 12252027690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21922875964080).
12252027690720 is an abundant number, since it is smaller than the sum of its proper divisors (31593724237440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12252027690720 is an equidigital number, since it uses as much as digits as its factorization.
12252027690720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3540840 (or 3540820 counting only the distinct ones).
The product of its (nonzero) digits is 423360, while the sum is 45.
The spelling of 12252027690720 in words is "twelve trillion, two hundred fifty-two billion, twenty-seven million, six hundred ninety thousand, seven hundred twenty".
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