Search a number
-
+
12120020222202 = 2324153309863993
BaseRepresentation
bin1011000001011110100110…
…0000000000000011111010
31120220122220001022002221100
42300113221200000003322
53042033300134102302
641435505503552230
72360433254040534
oct260275140000372
946818801262840
1012120020222202
1139530874a1192
121438b362bb676
1369bbb3b37549
142dc87d8aa854
15160409a6cd1c
hexb05e98000fa

12120020222202 has 48 divisors (see below), whose sum is σ = 27408089997288. Its totient is φ = 3867102620160.

The previous prime is 12120020222159. The next prime is 12120020222227. The reversal of 12120020222202 is 20222202002121.

12120020222202 is a `hidden beast` number, since 1 + 21 + 200 + 20 + 222 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4522891170681 + 7597129051521 = 2126709^2 + 2756289^2 .

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 23 ways as a sum of consecutive naturals, for example, 154892883 + ... + 154971110.

Almost surely, 212120020222202 is an apocalyptic number.

12120020222202 is an abundant number, since it is smaller than the sum of its proper divisors (15288069775086).

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

12120020222202 is a wasteful number, since it uses less digits than its factorization.

12120020222202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309864095 (or 309864092 counting only the distinct ones).

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

Adding to 12120020222202 its reverse (20222202002121), we get a palindrome (32342222224323).

The spelling of 12120020222202 in words is "twelve trillion, one hundred twenty billion, twenty million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 53 82 106 123 159 246 318 369 477 738 954 2173 4346 6519 13038 19557 39114 309863993 619727986 929591979 1859183958 2788775937 5577551874 12704423713 16422791629 25408847426 32845583258 38113271139 49268374887 76226542278 98536749774 114339813417 147805124661 228679626834 295610249322 673334456789 1346668913578 2020003370367 4040006740734 6060010111101 12120020222202