Search a number
-
+
120220111220 = 225114313792761
BaseRepresentation
bin110111111110110101…
…1010101000101110100
3102111022100100102022212
41233331223111011310
53432202322024340
6131121154112552
711454111041036
oct1577553250564
9374270312285
10120220111220
1146a92133a20
121b37157b758
13b44b9935b1
145b66681c56
1531d9483a65
hex1bfdad5174

120220111220 has 96 divisors (see below), whose sum is σ = 283878435456. Its totient is φ = 42387609600.

The previous prime is 120220111183. The next prime is 120220111237. The reversal of 120220111220 is 22111022021.

120220111220 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 = 120220111195 and 120220111204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249640 + ... + 1342400.

It is an arithmetic number, because the mean of its divisors is an integer number (2957067036).

Almost surely, 2120220111220 is an apocalyptic number.

120220111220 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 120220111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141939217728).

120220111220 is an abundant number, since it is smaller than the sum of its proper divisors (163658324236).

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

120220111220 is a wasteful number, since it uses less digits than its factorization.

120220111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92961 (or 92959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120220111220 its reverse (22111022021), we get a palindrome (142331133241).

The spelling of 120220111220 in words is "one hundred twenty billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 137 172 215 220 274 430 473 548 685 860 946 1370 1507 1892 2365 2740 3014 4730 5891 6028 7535 9460 11782 15070 23564 29455 30140 58910 64801 92761 117820 129602 185522 259204 324005 371044 463805 648010 927610 1020371 1296020 1855220 2040742 3988723 4081484 5101855 7977446 10203710 12708257 15954892 19943615 20407420 25416514 39887230 43875953 50833028 63541285 79774460 87751906 127082570 139790827 175503812 219379765 254165140 279581654 438759530 546455051 559163308 698954135 877519060 1092910102 1397908270 2185820204 2732275255 2795816540 5464550510 6011005561 10929101020 12022011122 24044022244 30055027805 60110055610 120220111220