Search a number
-
+
122320222220 = 22573143165393
BaseRepresentation
bin111000111101011011…
…0100111100000001100
3102200201201002010000202
41301322312213200030
54001002434102340
6132105414513032
711560131506450
oct1617266474014
9380651063022
10122320222220
114796a638449
121b858965778
13b6c4abcb21
145cc555a660
1532ada1dc15
hex1c7ada780c

122320222220 has 96 divisors (see below), whose sum is σ = 303746236416. Its totient is φ = 40490726400.

The previous prime is 122320222217. The next prime is 122320222267. The reversal of 122320222220 is 22222023221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122320222192 and 122320222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837844 + ... + 1903236.

It is an arithmetic number, because the mean of its divisors is an integer number (3164023296).

Almost surely, 2122320222220 is an apocalyptic number.

122320222220 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 122320222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151873118208).

122320222220 is an abundant number, since it is smaller than the sum of its proper divisors (181426014196).

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

122320222220 is a wasteful number, since it uses less digits than its factorization.

122320222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65871 (or 65869 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 122320222220 its reverse (22222023221), we get a palindrome (144542245441).

The spelling of 122320222220 in words is "one hundred twenty-two billion, three hundred twenty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 431 434 620 862 868 1085 1724 2155 2170 3017 4310 4340 6034 8620 12068 13361 15085 26722 30170 53444 60340 65393 66805 93527 130786 133610 187054 261572 267220 326965 374108 457751 467635 653930 915502 935270 1307860 1831004 1870540 2027183 2288755 4054366 4577510 8108732 9155020 10135915 14190281 20271830 28184383 28380562 40543660 56368766 56761124 70951405 112737532 140921915 141902810 197290681 281843830 283805620 394581362 563687660 789162724 873715873 986453405 1747431746 1972906810 3494863492 3945813620 4368579365 6116011111 8737158730 12232022222 17474317460 24464044444 30580055555 61160111110 122320222220