Base | Representation |
---|---|
bin | 11011110010100100010100… |
… | …000100010100111111000000 |
3 | 121000202022220201200101212011 |
4 | 123302210110010110333000 |
5 | 112004442102040133440 |
6 | 1111540040241342304 |
7 | 34513156401203323 |
oct | 3362442404247700 |
9 | 530668821611764 |
10 | 122222221021120 |
11 | 35a42175492260 |
12 | 1185b59a637994 |
13 | 53276768695cc |
14 | 2227830c767ba |
15 | e1e4317e39ea |
hex | 6f2914114fc0 |
122222221021120 has 112 divisors (see below), whose sum is σ = 317628198786528. Its totient is φ = 44426497986560.
The previous prime is 122222221021111. The next prime is 122222221021139. The reversal of 122222221021120 is 21120122222221.
It is a super-2 number, since 2×1222222210211202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 122222221021091 and 122222221021100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1710114 + ... + 15727966.
It is an arithmetic number, because the mean of its divisors is an integer number (2835966060594).
Almost surely, 2122222221021120 is an apocalyptic number.
122222221021120 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 122222221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158814099393264).
122222221021120 is an abundant number, since it is smaller than the sum of its proper divisors (195405977765408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122222221021120 is a wasteful number, since it uses less digits than its factorization.
122222221021120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14020358 (or 14020348 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 22.
Adding to 122222221021120 its reverse (21120122222221), we get a palindrome (143342343243341).
The spelling of 122222221021120 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".
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