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122220122220 = 223257971019901
BaseRepresentation
bin111000111010011100…
…0110001000001101100
3102200110201201111122100
41301310320301001230
54000301322402340
6132051441215100
711554504616640
oct1616470610154
9380421644570
10122220122220
1147919088879
121b82b331490
13b6aa142961
145cb6140c20
1532a4d49830
hex1c74e3106c

122220122220 has 288 divisors, whose sum is σ = 432346352256. Its totient is φ = 27371520000.

The previous prime is 122220122203. The next prime is 122220122261. The reversal of 122220122220 is 22221022221.

122220122220 is a `hidden beast` number, since 1 + 222 + 201 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122220122193 and 122220122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12339270 + ... + 12349170.

It is an arithmetic number, because the mean of its divisors is an integer number (1501202612).

Almost surely, 2122220122220 is an apocalyptic number.

122220122220 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 122220122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216173176128).

122220122220 is an abundant number, since it is smaller than the sum of its proper divisors (310126230036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122220122220 is a wasteful number, since it uses less digits than its factorization.

122220122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122220122220 its reverse (22221022221), we get a palindrome (144441144441).

Subtracting from 122220122220 its reverse (22221022221), we obtain a palindrome (99999099999).

It can be divided in two parts, 1222201 and 22220, that added together give a palindrome (1244421).

The spelling of 122220122220 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty".