Search a number
-
+
120120220101222 = 2341187589769589
BaseRepresentation
bin11011010011111110101011…
…000011001010101001100110
3120202022101021200002221120000
4123103332223003022221212
5111221022202321214342
61103250244534522130
734205254014164115
oct3323765303125146
9522271250087500
10120120220101222
11353017767a0670
121158012a806346
1352043990b8843
142193bc770bc7c
15dd4908ad644c
hex6d3fab0caa66

120120220101222 has 80 divisors (see below), whose sum is σ = 293630938563600. Its totient is φ = 36399603821760.

The previous prime is 120120220101149. The next prime is 120120220101313. The reversal of 120120220101222 is 222101022021021.

It is a happy number.

120120220101222 is a `hidden beast` number, since 1 + 2 + 0 + 120 + 220 + 101 + 222 = 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 = 120120220101195 and 120120220101204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155698804 + ... + 156468392.

It is an arithmetic number, because the mean of its divisors is an integer number (3670386732045).

Almost surely, 2120120220101222 is an apocalyptic number.

120120220101222 is an abundant number, since it is smaller than the sum of its proper divisors (173510718462378).

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

120120220101222 is a wasteful number, since it uses less digits than its factorization.

120120220101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857203 (or 857194 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120120220101222 its reverse (222101022021021), we get a palindrome (342221242122243).

The spelling of 120120220101222 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred twenty million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 87589 175178 262767 525534 769589 788301 963479 1539178 1576602 1926958 2308767 2364903 2890437 4617534 4729806 5780874 6926301 7094709 8465479 8671311 13852602 14189418 16930958 17342622 20778903 25396437 26013933 41557806 50792874 52027866 62336709 76189311 78041799 124673418 152378622 156083598 228567933 457135866 685703799 1371407598 67407530921 134815061842 202222592763 404445185526 606667778289 741482840131 1213335556578 1482965680262 1820003334867 2224448520393 3640006669734 4448897040786 5460010004601 6673345561179 10920020009202 13346691122358 20020036683537 40040073367074 60060110050611 120120220101222