Base | Representation |
---|---|
bin | 1011000111011010110111… |
… | …1111010001001100101000 |
3 | 1121021102101020021222002110 |
4 | 2301312231333101030220 |
5 | 3100221330324013000 |
6 | 41554431121202320 |
7 | 2401006025246532 |
oct | 261665577211450 |
9 | 47242336258073 |
10 | 12222101001000 |
11 | 3992400427190 |
12 | 1454884a903a0 |
13 | 6a8701765037 |
14 | 3037a5012852 |
15 | 162dd17c4850 |
hex | b1dadfd1328 |
12222101001000 has 1024 divisors, whose sum is σ = 43444678717440. Its totient is φ = 2835033600000.
The previous prime is 12222101000953. The next prime is 12222101001049. The reversal of 12222101001000 is 10010122221.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15335132602 + ... + 15335133398.
It is an arithmetic number, because the mean of its divisors is an integer number (42426444060).
Almost surely, 212222101001000 is an apocalyptic number.
12222101001000 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 12222101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21722339358720).
12222101001000 is an abundant number, since it is smaller than the sum of its proper divisors (31222577716440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12222101001000 is a wasteful number, since it uses less digits than its factorization.
12222101001000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 12222101001000 its reverse (10010122221), we get a palindrome (12232111123221).
The spelling of 12222101001000 in words is "twelve trillion, two hundred twenty-two billion, one hundred one million, one thousand".
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