Search a number
-
+
122220202212 = 223343101260573
BaseRepresentation
bin111000111010011100…
…1000100100011100100
3102200110201212120101000
41301310321010203210
54000301332432322
6132051443033300
711554505402103
oct1616471044344
9380421776330
10122220202212
1147919132989
121b82b36b830
13b6aa1701a4
145cb616203a
1532a4d633ac
hex1c74e448e4

122220202212 has 96 divisors (see below), whose sum is σ = 327447711360. Its totient is φ = 39398486400.

The previous prime is 122220202201. The next prime is 122220202243. The reversal of 122220202212 is 212202022221.

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

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 31 ways as a sum of consecutive naturals, for example, 338758 + ... + 599330.

It is an arithmetic number, because the mean of its divisors is an integer number (3410913660).

Almost surely, 2122220202212 is an apocalyptic number.

122220202212 is a gapful number since it is divisible by the number (12) 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 122220202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163723855680).

122220202212 is an abundant number, since it is smaller than the sum of its proper divisors (205227509148).

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

122220202212 is a wasteful number, since it uses less digits than its factorization.

122220202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260730 (or 260722 counting only the distinct ones).

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

Adding to 122220202212 its reverse (212202022221), we get a palindrome (334422224433).

The spelling of 122220202212 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 101 108 129 172 202 258 303 387 404 516 606 774 909 1161 1212 1548 1818 2322 2727 3636 4343 4644 5454 8686 10908 13029 17372 26058 39087 52116 78174 117261 156348 234522 260573 469044 521146 781719 1042292 1563438 2345157 3126876 4690314 7035471 9380628 11204639 14070942 22409278 26317873 28141884 33613917 44818556 52635746 67227834 78953619 100841751 105271492 134455668 157907238 201683502 236860857 302525253 315814476 403367004 473721714 605050506 710582571 947443428 1131668539 1210101012 1421165142 2263337078 2842330284 3395005617 4526674156 6790011234 10185016851 13580022468 20370033702 30555050553 40740067404 61110101106 122220202212