Base | Representation |
---|---|
bin | 10110110100011110… |
… | …01001110011100000 |
3 | 1011121211001120000100 |
4 | 23122033021303200 |
5 | 200042320340000 |
6 | 5343404422400 |
7 | 612412446264 |
oct | 133217116340 |
9 | 34554046010 |
10 | 12251340000 |
11 | 5217620089 |
12 | 245ab47a00 |
13 | 1203256113 |
14 | 8431660a4 |
15 | 4ba86ba00 |
hex | 2da3c9ce0 |
12251340000 has 360 divisors, whose sum is σ = 45056171160. Its totient is φ = 3153024000.
The previous prime is 12251339993. The next prime is 12251340001. The reversal of 12251340000 is 4315221.
12251340000 is a `hidden beast` number, since 12 + 251 + 3 + 400 + 0 + 0 = 666.
12251340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12251340001) by changing a digit.
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 59 ways as a sum of consecutive naturals, for example, 5218827 + ... + 5221173.
It is an arithmetic number, because the mean of its divisors is an integer number (125156031).
Almost surely, 212251340000 is an apocalyptic number.
12251340000 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 12251340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22528085580).
12251340000 is an abundant number, since it is smaller than the sum of its proper divisors (32804831160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12251340000 is a wasteful number, since it uses less digits than its factorization.
12251340000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2412 (or 2386 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 12251340000 its reverse (4315221), we get a palindrome (12255655221).
The spelling of 12251340000 in words is "twelve billion, two hundred fifty-one million, three hundred forty thousand".
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