Base | Representation |
---|---|
bin | 1011000111010110110100… |
… | …1001010011000110110100 |
3 | 1121021022120102020102212101 |
4 | 2301311231021103012310 |
5 | 3100212113324024340 |
6 | 41554131140031444 |
7 | 2400640045322314 |
oct | 261655511230664 |
9 | 47238512212771 |
10 | 12221013111220 |
11 | 39919a2333521 |
12 | 1454620692584 |
13 | 6a858a264584 |
14 | 303700747444 |
15 | 162d6b031c9a |
hex | b1d6d2531b4 |
12221013111220 has 144 divisors (see below), whose sum is σ = 28315188216000. Its totient is φ = 4418052097536.
The previous prime is 12221013111217. The next prime is 12221013111257. The reversal of 12221013111220 is 2211131012221.
12221013111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×122210131112203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76106376 + ... + 76266784.
It is an arithmetic number, because the mean of its divisors is an integer number (196633251500).
Almost surely, 212221013111220 is an apocalyptic number.
12221013111220 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 12221013111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157594108000).
12221013111220 is an abundant number, since it is smaller than the sum of its proper divisors (16094175104780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12221013111220 is a wasteful number, since it uses less digits than its factorization.
12221013111220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160862 (or 160837 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 19.
Adding to 12221013111220 its reverse (2211131012221), we get a palindrome (14432144123441).
The spelling of 12221013111220 in words is "twelve trillion, two hundred twenty-one billion, thirteen million, one hundred eleven thousand, two hundred twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.077 sec. • engine limits •