Base | Representation |
---|---|
bin | 1011000010110010000100… |
… | …1111101101011001001100 |
3 | 1120222210201211211121212122 |
4 | 2300230201033231121030 |
5 | 3042420144124441022 |
6 | 41454053325552112 |
7 | 2362155512463410 |
oct | 260544117553114 |
9 | 46883654747778 |
10 | 12142430312012 |
11 | 39616373a4370 |
12 | 144134b415638 |
13 | 6a1045921510 |
14 | 2dd9a7cbad40 |
15 | 160cbc1a4742 |
hex | b0b213ed64c |
12142430312012 has 96 divisors (see below), whose sum is σ = 28536874781184. Its totient is φ = 4365927014400.
The previous prime is 12142430311967. The next prime is 12142430312027. The reversal of 12142430312012 is 21021303424121.
It is a happy number.
It is a super-3 number, since 3×121424303120123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17603543 + ... + 18280305.
It is an arithmetic number, because the mean of its divisors is an integer number (297259112304).
Almost surely, 212142430312012 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 12142430312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268437390592).
12142430312012 is an abundant number, since it is smaller than the sum of its proper divisors (16394444469172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12142430312012 is a wasteful number, since it uses less digits than its factorization.
12142430312012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 681279 (or 681277 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 26.
Adding to 12142430312012 its reverse (21021303424121), we get a palindrome (33163733736133).
The spelling of 12142430312012 in words is "twelve trillion, one hundred forty-two billion, four hundred thirty million, three hundred twelve thousand, twelve".
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