Base | Representation |
---|---|
bin | 1011101010011000101000… |
… | …0101111001101000000000 |
3 | 1200101211212120111012221110 |
4 | 2322212022011321220000 |
5 | 3140042040302243440 |
6 | 43134413232523320 |
7 | 2462262536113050 |
oct | 272461205715000 |
9 | 50354776435843 |
10 | 12822794181120 |
11 | 40a4131031210 |
12 | 15311879b0540 |
13 | 720251bb46a1 |
14 | 3248ab377560 |
15 | 17383c419080 |
hex | ba98a179a00 |
12822794181120 has 640 divisors, whose sum is σ = 52296655656960. Its totient is φ = 2602506977280.
The previous prime is 12822794181107. The next prime is 12822794181121. The reversal of 12822794181120 is 2118149722821.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×128227941811202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 12822794181120.
It is not an unprimeable number, because it can be changed into a prime (12822794181121) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25176346 + ... + 25680614.
It is an arithmetic number, because the mean of its divisors is an integer number (81713524464).
Almost surely, 212822794181120 is an apocalyptic number.
12822794181120 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 12822794181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26148327828480).
12822794181120 is an abundant number, since it is smaller than the sum of its proper divisors (39473861475840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12822794181120 is a wasteful number, since it uses less digits than its factorization.
12822794181120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 504356 (or 504340 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 48.
The spelling of 12822794181120 in words is "twelve trillion, eight hundred twenty-two billion, seven hundred ninety-four million, one hundred eighty-one thousand, one hundred twenty".
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