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122212002220 = 225711149532607
BaseRepresentation
bin111000111010001100…
…1110010100110101100
3102200110011102222002121
41301310121302212230
54000242233032340
6132050551202324
711554345610320
oct1616431624654
9380404388077
10122212002220
1147914542130
121b8286763a4
13b6a855ba19
145cb5029980
1532a429394a
hex1c746729ac

122212002220 has 96 divisors (see below), whose sum is σ = 322121318400. Its totient is φ = 37836330240.

The previous prime is 122212002193. The next prime is 122212002221. The reversal of 122212002220 is 22200212221.

122212002220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122212002194 and 122212002203.

It is not an unprimeable number, because it can be changed into a prime (122212002221) by changing a digit.

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, 36844 + ... + 495763.

It is an arithmetic number, because the mean of its divisors is an integer number (3355430400).

Almost surely, 2122212002220 is an apocalyptic number.

122212002220 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 122212002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161060659200).

122212002220 is an abundant number, since it is smaller than the sum of its proper divisors (199909316180).

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

122212002220 is a wasteful number, since it uses less digits than its factorization.

122212002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532783 (or 532781 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122212002220 its reverse (22200212221), we get a palindrome (144412214441).

The spelling of 122212002220 in words is "one hundred twenty-two billion, two hundred twelve million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 149 154 220 298 308 385 596 745 770 1043 1490 1540 1639 2086 2980 3278 4172 5215 6556 8195 10430 11473 16390 20860 22946 32780 45892 57365 114730 229460 532607 1065214 2130428 2663035 3728249 5326070 5858677 7456498 10652140 11717354 14912996 18641245 23434708 29293385 37282490 41010739 58586770 74564980 79358443 82021478 117173540 158716886 164042956 205053695 317433772 396792215 410107390 555509101 793584430 820214780 872942873 1111018202 1587168860 1745885746 2222036404 2777545505 3491771492 4364714365 5555091010 6110600111 8729428730 11110182020 12221200222 17458857460 24442400444 30553000555 61106001110 122212002220