Base | Representation |
---|---|
bin | 11110111000011101101… |
… | …100010100010110110000 |
3 | 21111212210121021202122220 |
4 | 132320131230110112300 |
5 | 234232242233014300 |
6 | 4302533012201040 |
7 | 306216251242404 |
oct | 36703554242660 |
9 | 7455717252586 |
10 | 2122212001200 |
11 | 749030392175 |
12 | 2a3370609180 |
13 | 12517bac2795 |
14 | 74a038b9104 |
15 | 3a30c270da0 |
hex | 1ee1db145b0 |
2122212001200 has 120 divisors (see below), whose sum is σ = 6802463870400. Its totient is φ = 565564289280.
The previous prime is 2122212001199. The next prime is 2122212001369. The reversal of 2122212001200 is 21002122212.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2122212001200.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334791 + ... + 2454809.
It is an arithmetic number, because the mean of its divisors is an integer number (56687198920).
Almost surely, 22122212001200 is an apocalyptic number.
2122212001200 is a gapful number since it is divisible by the number (20) 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 2122212001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401231935200).
2122212001200 is an abundant number, since it is smaller than the sum of its proper divisors (4680251869200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122212001200 is a wasteful number, since it uses less digits than its factorization.
2122212001200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1121619 (or 1121608 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 2122212001200 its reverse (21002122212), we get a palindrome (2143214123412).
The spelling of 2122212001200 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one thousand, two hundred".
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