Base | Representation |
---|---|
bin | 1010111101110000111010… |
… | …0010000001001110010000 |
3 | 1120200120012111021112111010 |
4 | 2233130032202001032100 |
5 | 3040012113022430200 |
6 | 41350314415250520 |
7 | 2353014203430132 |
oct | 257341642011620 |
9 | 46616174245433 |
10 | 12056216998800 |
11 | 3929016211097 |
12 | 14286aa819a40 |
13 | 695b86484a10 |
14 | 2d9749c87052 |
15 | 15d9234b4150 |
hex | af70e881390 |
12056216998800 has 480 divisors, whose sum is σ = 41921732337408. Its totient is φ = 2944150364160.
The previous prime is 12056216998729. The next prime is 12056216998807. The reversal of 12056216998800 is 889961265021.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (12056216998807) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 1314311014 + ... + 1314320186.
Almost surely, 212056216998800 is an apocalyptic number.
12056216998800 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 12056216998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960866168704).
12056216998800 is an abundant number, since it is smaller than the sum of its proper divisors (29865515338608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12056216998800 is a wasteful number, since it uses less digits than its factorization.
12056216998800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9867 (or 9856 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 57.
The spelling of 12056216998800 in words is "twelve trillion, fifty-six billion, two hundred sixteen million, nine hundred ninety-eight thousand, eight hundred".
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